Question

find the x- and y-intercepts of the graph of $4x + 8y = 20$. state each answer as an integer or an improper fraction in simplest form.

answer attempt 1 out of 10

x-intercept: y-intercept:

Explanation:

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

Substitute \( y = 0 \) into \( 4x + 8y = 20 \):
\( 4x + 8(0) = 20 \)
Simplify: \( 4x = 20 \)
Solve for \( x \): \( x = \frac{20}{4} = 5 \)

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

Substitute \( x = 0 \) into \( 4x + 8y = 20 \):
\( 4(0) + 8y = 20 \)
Simplify: \( 8y = 20 \)
Solve for \( y \): \( y = \frac{20}{8} = \frac{5}{2} \)

Answer:

x-intercept: \( 5 \)
y-intercept: \( \frac{5}{2} \)