Quiz

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

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

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

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

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

Summary of Answers:

1. x = 5
2. y = -4
3. x = -5
4. y = 9
5. y = -2x + 7