Question

find the x- and y-intercepts of the graph of $2x + 8y = 12$. state each answer as an integer or an improper fraction in simplest form.

answer attempt 1 out of 100

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

Explanation:

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

Substitute \( y = 0 \) into \( 2x + 8y = 12 \):
\( 2x + 8(0) = 12 \)
Simplify: \( 2x = 12 \)
Divide by 2: \( x = \frac{12}{2} = 6 \)

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

Substitute \( x = 0 \) into \( 2x + 8y = 12 \):
\( 2(0) + 8y = 12 \)
Simplify: \( 8y = 12 \)
Divide by 8: \( y = \frac{12}{8} = \frac{3}{2} \)

Answer:

x-intercept: \( 6 \)
y-intercept: \( \frac{3}{2} \)