Question

the equation of a line is given below.
$5x + 4y = -20$
(a) find the $x$-intercept and the $y$-intercept.
$x$-intercept:
$y$-intercept:
(b) use the intercepts to graph the line.

Explanation:

Step1: Find x-intercept, set $y=0$

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

Step2: Find y-intercept, set $x=0$

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

Step3: Graph using intercepts

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

Answer:

(a)
x-intercept: $(-4, 0)$
y-intercept: $(0, -5)$
(b)
Graph: Plot the points $(-4, 0)$ and $(0, -5)$, then connect them with a straight line that extends across the coordinate plane.