Convert the following equations from point-slope form to slope-intercept form.

9) y – 4 = 3(x – 1)

10) y – 1 = -4(x – (-3))

Answers

Answer 1
Answer:

We need to solve both for y.

#9:

[tex]y - 4 = 3(x - 1)\\\\y - 4 = 3x - 3\\\\y = 3x + 1[/tex]

#10:

[tex]y - 1 = -4[x - (-3)]\\\\y - 1 = -4(x + 3)\\\\y - 1 = -4x - 12\\\\y = -4x - 11[/tex]


Related Questions

The length of a rectangle is 1 7/9in and its width is 3/4 of its length Find the area of this rectangle

Answers

Answer:

l = 16/9 inches and w = 3/4 * 16/9, which equals 4/3

Step-by-step explanation:

A=l*w

16/9 * 4/3 = 64/27 = 2 10/27 sq in

What is the y-intercept of -x + 4 = y? *

Answers

Answer:

y intercept: (0,4)

Step-by-step explanation:

Explain the different ways it is possible to add two rational numbers and get a negative number.
EXPLAIN

!!!EXTRA POINTS IF YOU GET IT CORRECT!!!

Answers

Answer:

both numbers are negative

negative number is greater than the positive number

Step-by-step explanation:

In order to add two rational numbers and get a negative value, one of two scenarios should occur:

1- both numbers are negative.

2- negative number is greater than the positive number

Determine the equations you would use to represent the situation.
You sold 27 tickets total. Some of the tickets were student tickets and the rest were adult tickers.
You collected $170 selling the tickets. If the student tickets cost $5 and the adult tickets cost $10.
how many student tickets did you sell?

Answers

Answer:

You sold 20 student tickets.

Step-by-step explanation:

Given that:

Total tickets sold = 27

Total amount collected = $170

Cost of student ticket = $5

Cost of adult ticket = $10

Let,

x be the number of students tickets sold

y be the number of adult tickets sold

x+y = 27          Eqn 1

5x+10y=170     Eqn 2

Multiplying Eqn 1 by 10

10(x+y=27)

10x+10y=270     Eqn 3

Subtracting Eqn 2 from Eqn 3

(10x+10y)-(5x+10y)=270-170

10x+10y-5x-10y=100

5x=100

Dividing both sides by 5

[tex]\frac{5x}{5}=\frac{100}{5}\\x=20[/tex]

Hence,

You sold 20 student tickets.

A business trip will be reimbursed $0.55 per mile. Mr. Jackson has a budget of $70 for the round trip. If he is traveling to a town 61 miles away, then will he be under or over? Prove your thinking.

Answers

Answer:

We know Mr. Jackson will have to pay 0.55 dollars per mile and that he's traveling 61 miles, so, if we want to know. how much will he pay, we can multiply the quantity of miles (61) per the cost of these:

0.55 * 61 = 33.55

So we know he will have to pay 33.55 dollars, and, as the travel is round, considering he will travell the same quantity of miles, he will pay twice

33.55 * 2 = $67.10

He has more budget than the needed for the travel

Answer:

Mr. Jackson will be under his budget.

Step-by-step explanation:

We know that Mr. Jackson has a budget of only $70 for the trip. We know that the trip will be reimbursed $0.55 per mile. Mr. Jackson is traveling 61 miles. Therefore, we need to multiply $0.55 by 61.

61 x 0.55 = $35.55

Since $35.55 is less than $70, he will be under his budget.

Hope this helps! :D

Need help on this one. Which knot is the correct one that would be able to unknot itself

Answers

Answer:

7 6

Step-by-step explanation:

Answer:

i think it 7 6

Step-by-step explanation:

10) It takes a sloth to 14 seconds to move 2 centimeters. How many centimeters does the sloth move per second? SHOW YOUR WORK. A) 7 B) C) 2 DJ 7 5​

Answers

Answer:

A (7)

Step-by-step explanation:

14/2=7

Answer:

i think its a) 7

Step-by-step explanation:

From what i learned, to find the unit rate/slope you must do y/x or rise/run. In this case 14 is y and 2 is x. You divide 14 by 2 and get 7! Hope this helps! Brainliest would be much appreciated! <3

Kai traveled home and made several stops and detours along the way, as shown by the graph.
Describe which intervals show which behavior. Drag letters for each interval to complete the statements.

Answers

Answer:

The graph increases if the line goes upwards. (The end of the segment is above the start of the segment)

The graph decreases if the line goes downwards. (The end of the segment is below the start of the segment)

The graph is constant if the line is horizontal. (The end of the segment is at the same height as the start of the segment)

Then:

The graph of the function is increasing in the segments c and e.

The graph of the function is decreasing in the segments a and f.

The graph of the function is constant in the segments b and d.

Please hurry!! Steven and Dan like to play a lot of video games. On Sunday, Dan played 4 fewer than twice the number of hours that Steven played. They played a total of 17 hours on Sunday. Which system of equations models this situation if Steven played s hours and Dan played d hours?

A) d=4-2s s+d=17

B) s=2d-4 s=17-d

C)d=2s-4 s+d=17

D)s=4-2d d=17-s

Answers

Answer

Step-by-step explanation:

Answer:i think A or C

Step-by-step explanation:

i'm not sure about my answer but i chose C and i don't know if i got it wrong or right but its either both of them i hope this helps.

In case of an​ emergency, the office has a calling list so everyone is called in the least amount of time. Each of the first 4 people on the list calls another 4 people on the list.​ Then, each of the people in the second group calls another 4 people on the​ list, and so on. The 4th group of people will make 256 calls. Is this statement​ accurate? Explain.
Select the correct choice and fill in the answer boxes to complete your choice.
A.
Yes. The 1st group is nothing​, the 2nd group is nothing​, and so on. The 4th group is which does equal 256.
B.
No. The 1st group is nothing​, the 2nd group is nothing​, and so on. The 4th group is which does not equal 256.

Answers

Answer:

A.Yes.1st group is nothing ,the 2nd group is nothing,and so on .The 4th group is which does not equal 256 is the correct answer

Somebody can help me with this ,, I’m going to really appreciate Is function,,, Algebra

Answers

Answer: b

Step-by-step explanation:

itssssssss b :)))))))))(

help pls! (it's a pic)

Answers

Answer: Choice C

x+y = 28

3x+4y = 100

===================================================

Explanation:

x and y are placeholders for nonnegative whole numbers.

Specifically,

x = number of three point questions

y = number of four point questions

Since we have 28 questions total, this must mean x+y = 28. That forms the first equation in our system of equations.

------------

Now let's form the second equation:

x = number of three point questions

3x = points we get from all the three point questions

y = number of four point questions

4y = points we get from all the four point questions

3x+4y = all points possible

3x+4y = 100  is the second equation

------------

So we have this system

[tex]\begin{cases}x+y = 28\\3x+4y = 100\end{cases}[/tex]

which fits the conditions in the instructions.

Which Angles are Congruent?

Angle A and Angle B


Angle C and Angle B


Angle A and Angle C

Answers

Answer:

Angle b

Step-by-step explanation:

Angles A and B.  

Explanation: x and 9 are congruent because of isosceles triangle

Help !!! I need help With this question!

Answers

Answer:

135°

Step-by-step explanation:

I don't know exactly but iv done the math and I think it's C 135°

Write the equation of a line in point-slope form
that has a slope of -2 and passes through the point
(-5,9).
A. y - 9 = -2(x + 5)
B. y - 9 = -2(x – 5)
C. y - 5 = -2(x – 9)
D. y -5 -2(x + 9)

Answers

Format: y-y1 = m(x-x1)
y1 = 9, x1 = -5, m = -2
Solution: A. y-9 = -2(x+5)

2x+5=11 two step equations

Answers

Answer:

x=3

Explanation: 11-5=6

6/2= 3

Plug 3 into the equation and you get 2x3+5=11 which 2x3=6 and 6+5=11

PLZ HELP THAI IS DUE IN AN HOUR

Answers

1. 17
2. -6
3. 6
4. 14
5. -13

hope this helps!!

y
What is the equation of the graphed line written in
standard form?
3
2+
1
X=-3
y=-3
O x + y = -3
Ox-y=-3
1 2 3 4 5 X
54-3-2-14
2
-3
N
4

Answers

Answer:

A) x = -3

the line is undefined

The equation of the graphed line written in slope-intercept form is x = -3

What is the Slope-Intercept form?

The graphed line in slope-intercept form, y = mx + b

To Convert it into the standard form of the equation, ax + by = c.

Consider that the points be (0, 3) and (5,0).

A Slope exists how many units it brought to go vertically or horizontally.

Which Slope doesn't exist.

The y-intercept in slope-intercept form, y = mx + b  

where, m = undefined

x = -3

Therefore, the correct answer is option (A), x = -3 because the line is undefined.

To learn more about slope-intercept form

brainly.com/question/12005129

#SPJ7

What is the value of the expression below when z = 9?
z2 +9z+10

Answers

Answer:

172

Step-by-step explanation:

Substitute z = 9 into the expression, that is

9² + 9(9) + 10 = 81 + 81 + 10 = 172

5)
How many solutions can be found for the linear equation?
3(x + 4) = 3x + 4
A)
no solution
B)
one solution
C)
two solutions
D)
infinitely many solutions

Answers

The answer is no solution because when you solve the equation

3(x+4)=3x+4

3x +12=3x +4
-3x -3x

You get an answer of 12=4 which is not true so there cannot be a solution to this equation

The answer is A no solution

1. 3 cans of pudding costs $2.48 at Store A and 6 cans of the same pudding costs $4.50 at Store B. Which store has the better buy on these cans of pudding?

Answers

Answer:a

Step-by-step explanation:

Answer:

Store B because if you take 2.48 divided by 3 to figure out the cost per can aka one can  it will be 0.826 repeating and that's for store A . While store B you take 4.5 divided by 6 to and get 0.75 per can so Store B is the best option since 0.75 is smaller than 0.826.

The graph shows the number of items sold by category at a yard sale.
Items Sold
28
24
Frequency
20-
16
12
8
4
0
Toys
Books
Décor
Clothing Electronics
Categories
What was the total number of items sold at the yard sale?
A. 60
B. 62
O c. 64
D. 66​

Answers

Answer: 62

Step-by-step explanation: items sold is 28 and 24 so add them which is 72subtact 20

I might be wrong sorry

The temperature on Mars may reach a high of 70 degrees Fahrenheit at the equator in the summer. It may reach a low of -225 degrees Fahrenheit at the poles. Which expression gives the difference between those temperatures?

Answers

Answer: See explanation

Step-by-step explanation:

Since we are informed that the temperature on Mars may reach a high of 70 degrees Fahrenheit at the equator in the summer and may also reach a low of -225 degrees Fahrenheit at the poles.

The expression that gives the difference between those temperatures would then be calculated as:

= 70°F - (-225°F)

= 70°F + 225°F

= 295°F

Plzz answer this question properly step by step

Answers

Answer:

54°

Step-by-step explanation:

∠A = 2x + 10, ∠C = 3x - 14

∠E + 266 = 360 (sum of angles around a point)

∠E = 360 - 266

∠E = 94°

AB is parallel to line BD. Lets draw a line cuts line AB and line BD to form ∠B and ∠D. Hence:

∠B + ∠D = 180° (sum of interior angles on the same side)

∠A + ∠B + ∠C + ∠D + ∠E = 540° (sum of angles in a pentagon)

2x + 10 + 3x - 14 + 94 + 180 = 540

5x + 270 = 540

5x = 540 - 270

5x = 270

x = 54°

One number is five more than twice as much another number. The sum of the numbers is 56. Find the numbers.

Answers

The numbers are 17 and 39

We can use a system of equation to solve this

x=2y+5

x+y=56

Solving...

2y+5+y=56

3y=51

y=17

x=2(17)+5

x=39

Can someone please help me with this!?

Answers

Answer:

Step-by-step explanation:

triangles have always total degrees as  180 degrees

let the 3 rd angle be x

so , 70 + 62 + x = 180

70 + 62 = 132

132 + x = 180

x = 180 - 132

x = 52 degrees

part b =  sorry i could not see the part b question clearly

Evaluate the expression for x = 2 and y = 4. Enter your answer in the box.

16x0 + 2x2 • y –1

Answers

Answer:

31

Step-by-step explanation:

PEMDAS

16(2) * 0.

32 * 0

=0

2(2) * 2

=8

8 * 4 - 1

32 - 1 = 31

Answer:

Its 6. Trust me.

Step-by-step explanation:

Find the smallest possible integer value of k for which 264k is a perfect square.

Answers

Step-by-step explanation:

264k

= 2³ * 3 * 11 * k

Hence, k = 2 * 3 * 11 = 66.

Answer:

k = 66.

Step-by-step explanation:

Find the prime factors of 264

264  =  2 * 2 * 2 * 3 * 11

The nearest perfect square will contain  one more 2, one more 3 and one more 11

=  264 * 2 * 3 * 11

= 17424.

how do you write 7/10 as a decimal Can someone please help me!!

Answers

Answer:

0.7

Step-by-step explanation:

To get 7/10 as a decimal you simply divide 7 by 10 which gets you 0.7.

help me please I dont know the answer and I am cleaning the house for my mom​

Answers

17/20 = t + (- 13/20)

t = 17/20 + 13/20

t = 30/20

t = 1.5

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