Question

graph the equation using x- and y- intercepts.

1. $4x - 5y = -20$

Explanation:

Step1: Find x-intercept (y=0)

Substitute \( y = 0 \) into \( 4x - 5y = -20 \):
\( 4x - 5(0) = -20 \)
\( 4x = -20 \)
\( x = \frac{-20}{4} = -5 \)
x-intercept: \( (-5, 0) \)

Step2: Find y-intercept (x=0)

Substitute \( x = 0 \) into \( 4x - 5y = -20 \):
\( 4(0) - 5y = -20 \)
\( -5y = -20 \)
\( y = \frac{-20}{-5} = 4 \)
y-intercept: \( (0, 4) \)

Step3: Graph the line

Plot points \( (-5, 0) \) (on x-axis) and \( (0, 4) \) (on y-axis), then draw a straight line through them.

Answer:

To graph \( 4x - 5y = -20 \), plot the x-intercept \( (-5, 0) \) and y-intercept \( (0, 4) \), then draw a line through these points.