Question

Quiz
Question 1 (1 point)

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What is the x-intercept of the following function?
-4x+5y=-20

Question 1 options:

x = -5


x = 4


x = -4


x = 5

Question 2 (1 point)

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What is the y-intercept of the following function?
-4x+5y=-20

Question 2 options:

y = -4


y = 5


y = 4


y = -5

Question 3 (1 point)

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What is the x-intercept of the following function?

9x-5y=-45
Question 3 options:

x = -9


x = 9


x = -5


x = 5

Question 4 (1 point)

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What is the y-intercept of the following function?
9x-5y=-45

Question 4 options:

y = 9


y = -5


y = 5


y = -9

Question 5 (1 point)

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Which answer choice is correctly rewritten in slope intercept form?
8x+4y=28

Question 5 options:

y = -2x + 7


y = -2x + 28


y = -8x + 4


y = -8x + 7


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Answer 1

Let's solve each question step by step.

### Question 1:
To find the x-intercept of the equation \(-4x + 5y = -20\), we set \(y = 0\).

\[-4x + 5(0) = -20\]
\[-4x = -20\]
\[x = 5\]

**Answer**: x = 5

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### Question 2:
To find the y-intercept of the equation \(-4x + 5y = -20\), we set \(x = 0\).

\[-4(0) + 5y = -20\]
\[5y = -20\]
\[y = -4\]

**Answer**: y = -4

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### Question 3:
To find the x-intercept of the equation \(9x - 5y = -45\), we set \(y = 0\).

\[9x - 5(0) = -45\]
\[9x = -45\]
\[x = -5\]

**Answer**: x = -5

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### Question 4:
To find the y-intercept of the equation \(9x - 5y = -45\), we set \(x = 0\).

\[9(0) - 5y = -45\]
\[-5y = -45\]
\[y = 9\]

**Answer**: y = 9

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### Question 5:
To rewrite the equation \(8x + 4y = 28\) in slope-intercept form (y = mx + b), we solve for \(y\).

1. Subtract \(8x\) from both sides:
\[4y = -8x + 28\]

2. Divide everything by \(4\):
\[y = -2x + 7\]

**Answer**: y = -2x + 7

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### Summary of Answers:
1. x = 5
2. y = -4
3. x = -5
4. y = 9
5. y = -2x + 7