Question

use intercepts to graph the equation.
5x - 4y - 20 = 0

use the graphing tool to graph the line. use the intercepts when drawing the line. if only one intercept exists, use it and another point to draw the line.
click to enlarge graph

Explanation:

Step1: Find x-intercept (set y=0)

Set $y=0$ in $5x - 4y - 20 = 0$:
$5x - 4(0) - 20 = 0$
$5x = 20$
$x = 4$
x-intercept: $(4, 0)$

Step2: Find y-intercept (set x=0)

Set $x=0$ in $5x - 4y - 20 = 0$:
$5(0) - 4y - 20 = 0$
$-4y = 20$
$y = -5$
y-intercept: $(0, -5)$

Step3: Plot intercepts and draw line

Plot points $(4, 0)$ and $(0, -5)$, then draw a straight line through them.

Answer:

The line passes through the x-intercept $(4, 0)$ and y-intercept $(0, -5)$; drawing a line through these two points graphs the equation $5x - 4y - 20 = 0$.