Question

question 10 of 10, step 1 of 2
consider the following equation.
5x + 8y = -20
step 1 of 2: find the x - and y - intercepts, if possible.
answer
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x - intercept:
(, ) o absent
y - intercept:

Explanation:

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

Set $y=0$ in $5x + 8y = -20$:
$5x + 8(0) = -20$
$5x = -20$
$x = \frac{-20}{5} = -4$
x-intercept is $(-4, 0)$

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

Set $x=0$ in $5x + 8y = -20$:
$5(0) + 8y = -20$
$8y = -20$
$y = \frac{-20}{8} = -\frac{5}{2}$
y-intercept is $(0, -\frac{5}{2})$

Answer:

x-intercept: $(-4, 0)$
y-intercept: $(0, -\frac{5}{2})$