How to calculate slope for a line that goes through
two points.
10.2: Practice
y
Find the slope of the line through these points. Try
making a table.
-3
6
(5.-3) and (-1.6)

Answers

Answer 1

Answer:

The slope is [tex]m=-\frac{3}{2}[/tex]

Step-by-step explanation:

The slope point equation is given by:

[tex]m=\frac{y_{2}-y_{1}}{x_{2}-x_{1}}[/tex]

Here:

The first point is (x1,y1)=(5,-3)

The first point is (x2,y2)=(-1,6)

Then, the slope will be:

[tex]m=\frac{6-(-3)}{-1-5}[/tex]

[tex]m=\frac{9}{-6}[/tex]

[tex]m=-\frac{3}{2}[/tex]

 

I hope it helps you!


Related Questions

if you roll a six sided die ten times, whats P(x>3)

Answers

Answer:

1 Binomcdf (10,1/6,3)

Step-by-step explanation:

Given ABCD what is the value of y? ​

Answers

Answer:

x=7

y=5

Step-by-step explanation:

quadrilaterals have 360 degrees, and their opposite angles are equal

15x+5=16x-2

7=x

(plug back in to find angle)

15(7)+5=110

that angle, plus opposite angle, equals 110.

360-220=140

140/2=70

now we know the value of other unsolved angle

70=12y+10

60=12y

5=y

The scale on a road map indicates that 2 inches = 30 miles. How many inches would represent 120 miles on this road map?

Answers

Answer:

8 inches = 120 miles

Step-by-step explanation:

If 2 inches is equivalent to 30 miles, then divide 120 by 30 then times the answer by two.

120 / 30 = 4

4 x 2 = 8

8 inches = 120 miles

To check;

30 x 4 = 120

8 / 2 = 4

Hope this helps!!!

Answer:

The answer is 8in.

Step-by-step explanation:

Calculated 120/30

If f(x) = 2x, which of the following shows the graph of f(x) = 2(x) + 2?

Answers

Answer: the first graph

Step-by-step explanation:

The intersection of the graph of the function with the y-axis gives the y-intercept of that function. The correct option is A.

What is the y-intercept of a function?

The intersection of the graph of the function with the y-axis gives the y-intercept of that function. The y-intercept is the value of y on the y-axis at which the considered function intersects it.

Assume that we've got: y = f(x)

At the y-axis, we've got x = 0, so putting it will give us the y-intercept.

Thus, y-intercept of y = f(x) is y = f(0)

Given f(x)=2, therefore, the graph will have a y-intercept as 0.

But when the value of f(x) = 2(x) + 2, then the graph of the function will have the y-intercept at 2.

Hence, the correct option is A.

Learn more about Y-intercept:

https://brainly.com/question/16540065

#SPJ2

Find the value of x in the isosceles triangle 40inches x 25 inches

Answers

Answer:

l

Step-by-step explanation:

Suppose y varies directly as x, and y=26 when x=8. Find x when y=65.

Answers

Answer:

when y=65, x=20

Step-by-step explanation:

We are given:

y varies directly as x

and y=26, when x=8

We need to find x, when y = 65

y varies directly as x can be written as:

[tex]y\:\alpha \:x\\y=kx[/tex]

Where k is constant of proportionality.

Finding k, when y=26 and x=8

[tex]y=kx\\26=k(8)\\k=\frac{26}{8}\\k=3.25[/tex]

We get the value of k = 3.25

Now, we need to find value of x, when y=65 and k=3.25

[tex]y=kx\\65=3.25(x)\\x=\frac{65}{3.25}\\x=20[/tex]

So, when y=65, x=20

What is the image point of (−2,5) after a translation left 5 units and up 3 units?

Answers

Answer:

(-7,8)

Step-by-step explanation:

The given point (x,y)=(-2,5)

Assuming that right and up directions are positive, so left and down directions are negative.

So, after a translation left 5 units and up 3 units, the image point = (x-5, y+3)

=(-2-5, 5+3)= (-7,8)

Hence, the image point is (-7,8).

Factor as the product of two binomials

36+12x+x^2

Answers

Answer:(x+6) (x+6)

(x+6)^2

Step-by-step explanation:

36+12x+x^2

x^2 +12x +36

What 2 numbers multiply to 36 and add to 12

6*6 = 36

6+6 =12

(x+6) (x+6)

(x+6)^2

Khan said so:

(6+x) (6-x)

Solving systems of equation using elimination
1)2x+2y = 8
x – 2y = 4

2)x+y=8
x-y=4

3)2x+2y=4
x-y=4

4)2x+2y=4
x-y=4

5)x+2y=8
x+3y=4


I need the answer for each problem. Please help is due in 30 minutes!

Answers

Answer:

2x+2y = 8

x – 2y = 4

3x=12

x=12/3=4

x=4

2x+2y=8

2(4) + 2y = 8

8+2y = 8

2y=8-8

2y=0

y=0/2=0

2(4)+2(0)=8

8+0=8

x+y=8

x-y=4

2x=12

x=12/2=6

6+y=8

y=8-6=2

6+2=8

2x+2y=4

x-y=4

2x+2y=4

2(x-y=4)

2x+2y=4

2x-2y=8

4x=12

x=12/4=3

2(3)+2y=4

6+2y=4

2y=4-6

2y=-2

y=-2/2=-1

2(3)+2(-1)=4

6+-2=4

x+2y=8

-(x+3y=4)

x+2y=8

-x-3y=-4

-1y=4

y=4/-1=-4

x+2(-4)=8

x+-8=8

x=8+8=16

You want to cook some desserts for your 10 friends within 2 hours. It will take you 15 minutes to make a waffle and 5 minutes to make a chocolate cookie. Write a system of inequalities to express this situation. What is the most possible number of waffles you can make and still meet the requirements ? waffles

Answers

Answer: 7 waffles

Step-by-step explanation: trust me pls. you have a total of 120 minutes. 7 waffles takes you 105 minutes, and the remaining 15 minutes can be spent on 3 cookies.

Acela Express, the fastest train between Washington D.C and Boston covers a distance of 455 miles in 7 hours. How many miles will the train travel in 4 hours?

Answers

Answer:

260 miles

Step-by-step explanation:

Given that:

Distance covered in 7 hours = 455 miles

Number of miles train will travel in 4 hours

Average travel speed per hour :

Distance traveled / time taken

455 miles / 7 hours

= 65 miles per hour

Number of miles traveled in 4 hours :

Average Speed per hour * time

(65 * 4) = 260 miles

Can someone help me with this I tried everything

Answers

Answer:

x < 11

Step-by-step explanation:

2x - 22  =   2 • (x - 11) 

Divide both sides by  2 

Add  11  to both sides

so your answer is

 x < 11

Is 2x + 3 + 7x equivalent to the expression 3(3x + 1) ?

Answers

Answer:

Yes

Step-by-step explanation:

3(3x+1) = 9x+3

2x+3+7x = 9x+3

Please help 16 points due tomorrow

Answers

Answer:

1) 26.1% increase

2) 20% decrease

Work:

1)

-subtract the larger # from the smaller # to figure out what the change was.

[tex]8.8 - 6.5 = 2.3[/tex]

-divide 2.3 by the orriginal ammount (8.8) to find your answer as a decimal

[tex]2.3 \div 8.8 = 0.261[/tex]

-take 0.261 and multiply it by 100 to have your answer as a percent

[tex]0.2614 \times 100 = 26.1[/tex]

-if the original number increased than it is percent increase and if the original number decreased than it is percent decrease

2)

-subtract the larger # from the smaller # to figure out what the change was.

[tex]15 - 12 = 3[/tex]

-divide 2.3 by the orriginal ammount (15) to find your answer as a decimal

[tex]3 \div 15 = 0.2[/tex]

-take 0.2 and multiply it by 100 to have your answer as a percent

[tex]0.2 \times 100 = 20[/tex]

-if the original number increased than it is percent increase and if the original number decreased than it is percent decrease

The perimeter of a rectangle is 70cm. if its length is decreased by 5cm and its width is increased by 5cm, its area will increase by 50 cm^2. Find the length and the width of the original rectangle.

Answers

Answer:

l=25, w=10

Step-by-step explanation:

2(25)+2(10)=70

25*10=250

25-5=20

10+5=15

20*15=300

Answer:

width = 10

lenghth = 25

Step-by-step explanation:

A butcher has 3 1 3 pounds of ground beef that will be priced at $1.35 per pound. He divides the meat into 8 equal packages. To the nearest cent, the price of each package is $ .

Answers

Answer:

$0.56

Step-by-step explanation:

Cost of 3 1/3 pounds of beef at $1.35 per pound

= 3 1/3 × 1.35

= 10/3 × 1.35

= $4.5

He divides the meat into 8 equal packages. To the nearest cent, the price of each package is $

= $4.5 / 8

= $0.5625

Approximately $0.56 to the nearest cent

The local lighting company found that 2 out of every 10 lightbulbs was defective. If
there are a total of 120 bulbs in a box, how many can they predict will be defective?

Answers

Answer:

24

Step-by-step explanation:

2/10

120 ÷ 10 = 12

2 x 12 = 24

10 x 12 = 120

24/120

Answer:

24

Step-by-step explanation:

120 % 10  = 12

2 x 12 = 24


Which number line shows the solution of 4x - 36 <-12?

Answers

B is your answer plz mark brainlyest

Answer: Other guy is right.

Step-by-step explanation:

is this correct? plz answer only if you know for sure.

Answers

Answer:

2x+3x=150 ( sum of opposite interior angle of triangle is equal to the exterior angle)

5x=150

x=150/5

x=30

HELLPPP

2. If the temperature is given by the equation y= 5x + 50, how would you describe what is
happening to the temperature?

Answers

Answer:

Step-by-step explanation:

The temperature starts at 50 and increases because the slope is positive.

A submarine rises to the ocean's surface at 720 feet in 6 minutes. Find the points submarine's change in elevation per minute.

Answers

Answer:

The submarine gains 120 feet of elevation per minute.

Step-by-step explanation:

The function g(x) is a translation of f(x) = (x + 3)2 – 10. The axis of symmetry of g(x) is 5 units to the right of f(x) . Which function could be g(x)?

Answers

Answer:

There are two possible solutions for [tex]g(x)[/tex]:

[tex]g(x) = (x+3)^{2}-5[/tex]

[tex]g(x) = x^{2}-3\cdot x +4[/tex]

Step-by-step explanation:

From statement, we understand that [tex]g(x)[/tex] is defined by the following operation:

[tex]g(x) = f(x) +5[/tex] (1)

If we know that [tex]f(x) = (x+3)^{2}-10[/tex], then [tex]g(x)[/tex] is defined by:

[tex]g(x) = (x+3)^{2}-10+5[/tex]

[tex]g(x) = (x+3)^{2}-5[/tex]

[tex]g(x) = x^{2}-3\cdot x + 9 -5[/tex]

[tex]g(x) = x^{2}-3\cdot x +4[/tex]

Answer:

There are two possible solutions

Step-by-step explanation:

Argyle sells computers. He keeps one
eighth of his sales as a commission.
How much must he sell to earn $500?

Answers

Answer:

Note: I'm assuming that he keeps 1/8 of the money spent for himself.

If this is what the question was asking, then the answer would be:

Argyle must sell $4,000 worth of computers.

Step-by-step explanation:

First, we write an equation.

1/8n = $500

Note: n is the variable I'm using to represent the amount of money Argyle must sell to get $500 as commission.

Then, to get the value of n and to get rid of the fraction, we multiply both sides by 8:

1/8n * 8 = $500 * 8

= n = $4000

Therefore, Argyle must sell $4,000 worth of computers to keep 1/8 ($500) as commission.

7 lbs of dog food cost $6.30. What is the unit price? 20 points-

Answers

Answer: 9 cents

Step-by-step explanation: 6.30 divided by 7 is 0.9

Rena has posters that measure 8 inches wide by 10 inches tall. If she uses a poster maker which creates similar posters, what is the area of the poster if the height of the poster is 35 inches?

Answers

Answer:

B . 980 just trust me

Step-by-step explanation:

You set up proportions

an equation of a line that passes through the point (15,2) and is perpendicular to the line -10x+8y = 3?

Answers

Answer:

        y = -⁴/₅x + 14

Step-by-step explanation:

Changing to slope-intercept form:

-10x + 8y = 3         {add 10x to both sides}

8y = 10x + 3         {divide both sides by 8}

y = ⁵/₄x + ³/₈

Two lines are perpendicular if the product of their slopes is equal -1:

y=m₁x+b₁   ⊥   y=m₂x+b₂   ⇔    m₁×m₂ = -1

y = ⁵/₄x + ³/₈   ⇒   m₁=⁵/₄

⁵/₄×m₂ = -1        ⇒    m₂ = -⁴/₅

 

The line y=-⁴/₅x+b passes through point (15, 2) so the equation:

2 = -⁴/₅×15 + b must be true

2 = -12 + b

b = 14

Therefore equation in  slope-intercept form:

                                                     y = -⁴/₅x + 14

A route from point A to point B. 1 inch on the map equals 25 miles.

Manuel is leaving Boston to go on a hike at Mt. Monadnock, in New Hampshire. He mapped out a route with the map scale of 1 in. = 25 mi and found the total distance on the map to be about 3.2 inches. What is the actual distance Manuel will travel?

Answers

Question:

A route from point A to point B. 1 inch on the map equals 25 miles.

Manuel is leaving Boston to go on a hike at Mt. Monadnock, in New Hampshire. He mapped out a route with the map scale of 1 in. = 25 mi and found the total distance on the map to be about 3.2 inches. What is the actual distance Manuel will travel?

Answer:

Point A to point B - 1 inch on the map = 25 miles - 80 Miles

Step-by-step explanation:

Answer:

80

Step-by-step explanation:

got it right

what is the slope of the line y=2x+5?​

Answers

Answer:

The slope is 2

Explanation:

The equation is written in y=mx+b
M would always be the slope and b the y intercept

Hope this helps!!

Answer:

2

Step-by-step explanation:

Mr. Foote needs exactly 6 folders for each fourth-grade student at Hoover Elementary School. If he bought 726 folders, to how many students can he supply folders? PLEASE HELP I HAVE 5 MINUTES TO ANSWER

Answers

Answer:

60try to get it done before the end of this week

Use a number line to order the numbers from least to greatest.

HELLLPPPP!!!!!

Answers

So the smallest is 8/25 because it’s .32 so put it on 0.32. Then 38% because it u divide 38 by 100, you get .38 so put it between .46 and .4. And the last one is 0.41. You put it next to 0.4
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