Question

find the x- and y-intercepts of the graph of $-8x + y = 21$. state each answer as an integer or an improper fraction in simplest form.

answer attempt 1 out of 2

x-intercept: \boxed{} y-intercept: \boxed{}

Explanation:

Step1: Find x-intercept (y=0)

Set \( y = 0 \) in \( -8x + y = 21 \):
\( -8x + 0 = 21 \)
\( -8x = 21 \)
\( x = \frac{21}{-8} = -\frac{21}{8} \)

Step2: Find y-intercept (x=0)

Set \( x = 0 \) in \( -8x + y = 21 \):
\( -8(0) + y = 21 \)
\( y = 21 \)

Answer:

x-intercept: \(-\frac{21}{8}\)
y-intercept: \(21\)