Question

find the x- and y-intercepts of the graph of -2x + 4y = 40. state each answer as an integer or an improper fraction in simplest form.

answer
attempt 1 out of 100

x-intercept: 　　 y-intercept:

Explanation:

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

Substitute \( y = 0 \) into \( -2x + 4y = 40 \):
\( -2x + 4(0) = 40 \)
Simplify: \( -2x = 40 \)
Solve for \( x \): \( x = \frac{40}{-2} = -20 \)

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

Substitute \( x = 0 \) into \( -2x + 4y = 40 \):
\( -2(0) + 4y = 40 \)
Simplify: \( 4y = 40 \)
Solve for \( y \): \( y = \frac{40}{4} = 10 \)

Answer:

x-intercept: \(-20\)
y-intercept: \(10\)