Question

1. graph the following equation. x = 5y + 5

Explanation:

Step1: Find x-intercept (y=0)

Substitute \( y = 0 \) into \( x = 5y + 5 \).
\( x = 5(0) + 5 = 5 \).
So, the x-intercept is \( (5, 0) \).

Step2: Find y-intercept (x=0)

Substitute \( x = 0 \) into \( x = 5y + 5 \).
\( 0 = 5y + 5 \).
Solve for \( y \): \( 5y = -5 \) → \( y = -1 \).
So, the y-intercept is \( (0, -1) \).

Step3: Plot points and draw line

Plot \( (5, 0) \) and \( (0, -1) \) on the coordinate plane. Draw a straight line through these two points. This line represents the graph of \( x = 5y + 5 \).

Answer:

To graph \( x = 5y + 5 \):

1. Plot the x - intercept \( (5, 0) \) (when \( y = 0 \)) and y - intercept \( (0, -1) \) (when \( x = 0 \)).
2. Draw a straight line through these two points.