Question

given the equation $-4x + y = 8$, what are the x- and y-intercepts of the graph?\
\
\bigcirc x-intercept = 8; y-intercept = -2\
\bigcirc x-intercept = 2; y-intercept = -8\
\bigcirc x-intercept = -2; y-intercept = 8\
\bigcirc x-intercept = -8; y-intercept = 2

Explanation:

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

Given equation: \(-4x + y = 8\). Set \(y = 0\):
\(-4x + 0 = 8\)
\(-4x = 8\)
\(x = \frac{8}{-4} = -2\)

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

Set \(x = 0\) in \(-4x + y = 8\):
\(-4(0) + y = 8\)
\(y = 8\)

Answer:

x-intercept = -2; y-intercept = 8 (corresponding to the option with "x-intercept = -2; y-intercept = 8")