Question

find the x- and y-intercepts of the line y = 4x - 16.
write your answers as integers or as simplified proper or improper fractions, not as ordered pairs.

x-intercept:

y-intercept:

Explanation:

Step1: Find x-intercept

Set \( y = 0 \) in \( y = 4x - 16 \).
\( 0 = 4x - 16 \)
Add 16 to both sides: \( 16 = 4x \)
Divide by 4: \( x = \frac{16}{4}=4 \)

Step2: Find y-intercept

Set \( x = 0 \) in \( y = 4x - 16 \).
\( y = 4(0) - 16 = -16 \)

Answer:

x-intercept: \( 4 \)
y-intercept: \( -16 \)