Write the equation of a line going through the points (2,2) and (4,-3) in slope intercept form.

Step 1: Find slope


Step 2: find b



Step by step answer please.

Answers

Answer 1

Answer:

the slope is y2 - y1 over

x2 - x1

which means

[tex]( - 3- 2) = - 5[/tex]

[tex](4 - 2) = 2[/tex]

slope is m= -5/2

then you take a y from the first set of points for b

[tex]y = - \frac{5}{2} x \times 2[/tex]

hope it helps.


Related Questions

A cyclist rides her bike at a rate of 30 miles per hour. What is this rate in kilometers per hour? How many kilometers will the cyclist travel in 5 hours? In your computations, assume that 1 mile is equal to 1.6 kilometers. Do not round your answers.

Answers

Answer:

48240

Step-by-step explanation:

Part one

1 mile per hour = 1.60 kilometers per hour

30 miles per hour = ?

Step 1: Set up a fraction.

The units must be on the same level. And the rate in KM (kilometer) per hour will be a variable, "[tex]k[/tex]". It does not matter whether they are top or bottom.

[tex]\frac{1.60}{1} = \frac{k}{30}[/tex]

As you can see, 1 mile per hour and 30 miles per hour are at the same level, leaving the rest on the same level, as well.

Step 2: Solve

[tex]\frac{1.60}{1} = \frac{k}{30}[/tex]

Cross multiply

1.60 × 30 = 48

1 × k = 1

Therefore, the rate is 48 kilometers per hour.

Part 2

This part is mainly the same as the first part. Fractions. However, since we've already found out the answer for part one, it will be simple.

Step 1: Multiply the result to 5.

48 × 5 = 240

Therefore, the cyclist will travel 240 kilometers in 5 hours.

240km

Step-by-step explanation:

First, to make everything more clear, rewrite it like this-

1 mile = 1.6km

So we have to multiply 30 (miles) by 1.6 (km)

30 x 1.6 + 48

So it is 48km per hour, now we have to calculate how many km does she ride in 5 hours.

We have to multiply 48 by 5 which equals 240

So the answer is 240km

Brainlest Evaluate (-2-2-1/2)³​

Answers

Decimal form -91.125

Exact form -729/8

Answer:

[tex]\sf\longmapsto \: \frac{ - 792}{8} [/tex]

Step-by-step explanation:

[tex]\sf\longmapsto \: (−4− \frac{1}{2} ) {}^{3} [/tex]

[tex]\sf\longmapsto \: (− \frac{9}{2} ) {}^{3} [/tex]

[tex]\sf\longmapsto \: \frac{ - 729}{8} [/tex]

[tex]\sf\longmapsto \: Decimal: -91.125[/tex]

Ken bought a new car and had to borrow $6,500 from the bank. The bank charged
Ken 3.7% in simple interest for the 5 years Ken had the bank loan. What's the total
amount Ken will have to repay the bank?

Answers

Answer: 65005.037

Step-by-step explanation:

I=?

P=6,500

R=037

T=5 years

 I=  6,500+037+5= 65005.037

helpppppppppppppppppppppppppppppp meeeeeeeeeeeeeeeeeee plsssssssssssssssssssssss there is more but plss help mee​

Answers

Answer: The attachment is a bit difficult to read, and long.  I'll make some suggestions and add some detail to a few of the problems, but would ask that these suggestions be applied to other problems to find the answers.

Step-by-step explanation:

9.   Coinciding lines line on top of each other.  I.e., they are the same equation.  If we take A, for example, we can reduce the second expression by dividing by 2:  (2x+4y=6)/2 = (x + 2y = 3).  This matches the first expression (x + 2y = 3).  !   Whoa, that went fast.

10.   (x+8)(x-8) = x² +8x -8x - 64 = x² - 64

11.  I don't have the time to explain how one can factor, but practice is important.  And I don't know if this is completely factored, but it matches one of the options.  Try (n-2)(n²+2n + 4)  [n³ +2n² +4n - 2n² -4n -8 = n³ - 8.  It works.

12.  The denominators are the same, so add the numerators and keep the denominator.  (7x+4y)/x²y

13.  The slope is the "Rise" over the "Run."  (3,4), (8,-1)  Rise = (-1 - 4) = -5.  Run = (8-3) = 5  Slope = -(5/5) = -1

14.  A line with a positive slope will move upwards as x increases.  We can eliminate options C and D immediately.  That leaves A and B.  The line we are looking for is y = 5x + b.  We are not given b, the y-intercept, so determine the slopes of both lines:  I get 4 for A and 5 for B.  To confirm B is correct, we could calculate b for y=5x+b by using given point, (2,3).  3 = 5*2 + b, b = -7.  We can't see this point (0,-7) on the graph, but it appears correct.  B is the best answer.

15.  The line will have the form of y=mx+b.  Calculate m, the slope, from the two points (3,1) and (4,7).  Rise = 6, Run = 1  Slope = 6.  y=6x+b.  Find b by using either of the given poins and solving for b.  I'll choose (3,1).  y=6x+b;  1 = 18 + b; b = -17.  The equation is y=6x-17.  Rearrange option A (y =6x - 17).

16.  The second value in each factor must, when multiplied together, equal the final term of the original expression, -9y².  I see only one option for which that is true, C.  Multiply the two factors in C to be certain, and you'll find they result in the correct expression.

a man earned $180 for working 14 hours. How many hours must he work to earn 300

Answers

Answer:

it would be roughly 24 hours

Step-by-step explanation:

180÷14

12.8571428571

simplify to 12.85

12.85× X = 300

X=24

What is the significance of a correlation coefficient of − 0 . 97 ?

Answers

Answer:

The points all lie very close to the line of fit, and the

line is decreasing.

Step-by-step explanation:

Brainliest maybe

Answer: A.) The points all lie very close to the line of fit, and the line is decreasing.

Which expression is equivalent to 5 to the power of 6

5^6

Answers

Answer:

5^6

5^6 is the same thing as

5^6=5×5×5×5×5×5

=5×5=25×5=125×5=625×5=3125×5=15625

5^6= 15625

Answer:

125 * 125

Step-by-step explanation:

do 125 x 125 = 15625

An insect's head accounts for approximately 60% of its total mass. If the insect weighs 40 g, what is the mass
of its head?

Answers

Answer:

24 g

Step-by-step explanation:

60/100x40

2400/100

24

in fiq Q.3 measure the angle which the ladder makes with (I) the ground (2) the wall​

Answers

Step-by-step explanation:

for measuring the angle use the protractor !

Solve the equation. 9 ( − 2 ) =

Answers

Answer:

- 18

Step-by-step explanation:

9 ( - 2 )

= 9 x ( - 2 )

= - 18

Therefore, - 18 is the answer of the given equation.

Answer:

-18

Step-by-step explanation:

the parentheses mean to multiply, so 9 times 2 is 18, but since it is a negative and a positive that you're multiplying, then it would be negative 18

Evaluate. 2 > 8 - 4/3h

Answers

Answer: h>9/2

Step-by-step explanation:

What is the answer for x?

Answers

The value of x is 5 by using external angle

Answer:

Step-by-step explanation:

The triangle’s angles add up to 180 degrees

so 40 + (16x + 2) + ∠C = 180

The straight angle is 180°

so ∠C = 180 - (23x + 7)  

∠C = 180 - 23x -7

∠C = 173 - 23x

and then 40 + (16x + 2) +(173 - 23x) = 180

40 + 16x + 2 + 173 - 23x = 180

215 - 7x = 180

-7x = 180 - 215

-7x = -35

x = 5

please give me a brainliest answer

Hooke’s Law for an elastic spring states that the distance a spring stretches varies directly as the force applied. If a force of 180 newtons stretches a spring 5 cm, how much will a force of 270 newtons stretch the same spring?

Answers

Answer:

7.5m

Step-by-step explanation:

Set up a proportion and cross multiply to find the unknown

Hope this helps

The elongation of spring by 170 newtons force maintaining the given ratio is 7.5 cm.

What are the ratio and proportion?

The ratio is the division of the two numbers.

For example, a/b, where a will be the numerator and b will be the denominator.

Proportion is the relation of a variable with another. It could be direct or inverse.

As per the given question,

Elongation of spring in 180 newtons = 5 cm

The ratio of elongation to force applied = 5/180

The force the second time is 270 newtons.

Let's say the elongation at this time is x cm.

The ratio of elongation to force applied = x/270

Both ratios must be the same.

Therefore,  x/270 = 5/180

x = 270/36 = 7.5 cm

Hence "The elongation of spring by 170 newtons force maintaining the given ratio is 7.5 cm".

For more information about ratios and proportions,

brainly.com/question/26974513

#SPJ5

LY!
Fill in the missing numbers to complete the pattern:
2.6, 3.1,
4.6, 5.1

Answers

The pattern is adding 0.5 each time. So the missing values are:
3.6 and 4.1

Simplify to create an equivalent expression
-5(3p+3) + 9(-7+p)
The answers are:
A)-5p-78
B)-6p-78
C)-6p-48
D)-6p+78

Answers

The answer is B. -6p-78. Pls mark brainliest.

can somebody please just help me do not answer if you do not know

Answers

Answer:

it could be 34 , 34 and 82

or 34 , 73 and 37

Step-by-step explanation:

angles in a triangle add up to 180. in and isosceles triangle two angles are always the same so there will be 2 possible outcomes.

pls mark brainalist

write the equation of the line parallel to the given line y = 2x - 4

Answers

Answer:

y=2x-8

Step-by-step explanation:

Plot the line and use the parallel slope to create the line and then find the y-intercept

The expression - 250 + 16z represents a submarine that began at a depth of 250 feet below sea level
and ascended at a rate of 16 feet per minute. What was the depth of the submarine after 9 minutes?

Answers

= -250 + 16z
= -250 + 16(9)
= -250 + 144
= -106 feet

The sum of the real numbers x and y is 11. Their difference is 5. What is the value of xy?

Answers

Answer:8

Step-by-step explanation:

Answer:

xy=24

Step-by-step explanation:

x+y=11

x-y=5

x=y+5

y+5+y=11

2y=6

y=3

x=8

xy=24

9. The repair order is a legal document because

People say it’s B or C, which one is correct.

Correct gets brainliest!!!

Answers

Answer:

C is the correct answer cos it is paid by the customer

What is an equation of the line that passes through the points (2,6) and (1, 1)?

Answers

Answer: y=5x+b

Step-by-step explanation:

I used the slope intercept equation, which supplied me the solution.

m=5

b=0

HELP PLEASE!!
Write a recursive rule for an=1/3•4^n-1

A.) an=1/3•an-1
B.) an=4•1/3an-1
C.) an=1/3•4an-1
D.) an=4•an-1

Answers

Answer:

D.) an = 4 * an-1

Step-by-step explanation:

a(n) = (1/3) * 4^(n-1)

a(n-1) = (1/3) * 4^(n-1-1) = (1/3) * 4^(n-2)

Thus,

a(n) = (1/3) * 4 * 4^(n-2) = 4 * [(1/3) * 4^(n-2)] = 4 * a(n-1), so that

a(n) = 4 * a(n-1).

a line containing the points (4, y) and (-3, 2) has a slope of 3/2.

Answers

Answer:

y=14.5

Step-by-step explanation:

A slope of 3/2 means that for every unit it moves to the right, it will move 1.5 units up. The x of 4 is 7 more than the -3 of our other point. 7*1.5=12.5, and 12.5+2=14.5.

how to solve the attachment question?

Answers

Answer:

y = 100 - 0.08^ x

Step-by-step explanation:

HELP RN PLEASE!!!!!!!!​

Answers

What is the question

Step-by-step explanation:

this is the answer

hopes it helps

Express the values below I’m scientific notation 52,800g, 255.6m, 0.04109cm!?

Answers

Answer:

1) 5.28 x 10^4 g

2)2.556 x 10^2 m

3)4.109 × 10^-2cm

Have a nice day!!!!!

Answer:

52,800 in scientific notation is [tex]5.28[/tex] × [tex]10^4[/tex].

255.6 in scientific notation is [tex]2.556[/tex] × [tex]10^2[/tex].

0.04109 in scientific notation is [tex]4.109[/tex] × [tex]10^{-2}[/tex].

What is a correct congruence statement for the triangles shown?
Enter your answer in the box.
ΔQDJ=Δ____

Answers

Answer:

GAP but if not that AGP

Step-by-step explanation:

Answer:

ΔQDJ ≅ GAP

Step-by-step explanation:

Use the order of corresponding vertices.

Q and G, D and A, J and P are corresponding considering the marks on the lines.

ΔQDJ ≅ GAP

What is the equation of the line in point slope form with a slope of m=-2/3 passing through the point (-5,-2)

Answers

Answer:

[tex]m=− 32​ ≈−0.666666667[/tex]

Step-by-step explanation:

Help help help help help help help​

Answers

I) Degree Yes No m b

6) 1 √ 1 10

7) 1 √ 5 -1

8) 2 √

II)

9) x = 1,y = 3, 3x

x = 2,y = 6, 3x

x = 3,y = 9, 3x

It's a linear equation because it has 1 degree of function.

f(x) = 3x + 0.

10) x = -2,y = 4,x²

x = -1,y = 1,x²

x = 0,y = 0,x²

It's not linear a linear equation because it has 2 degree of function.

A)

1. m = -2/3 , b = 4

y = mx + b

y = -2/3x + 4

Values;

x= 0,y = 4 (0, 4)

x=1,y=10/3 (1,10/3)

x=2, y= 8/3 (2, 8/3)

x=3, y=2 (3, 2)

x=4, y=4/3 (4, 4/3)

The graph is the 1st one above.

2. a = -2 , b = 3

y = mx + b

at y = 0, x = -2

0 = m(-2) + 3

-3 = -2m

m = 3/2

y = 3/2x + 3

Values;

x = -2, y=0, (-2, 0)

x = -1, y = 3/2, (-1, 3/2)

x = 0,y = 3, (0, 3)

x = 1,y = 9/2, (1, 9/2)

x = 2, y = 6, (2, 6)

The graph is the 2nd one above.

Write 6^7 + 6^5 + 11 in base six. Use the digits 0, 1, 2, 3, 4, 5

Answers

Answer:

Sorry I don't remember the answer

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