Question

find the x-intercept and y-intercept of the line. 7x - 8y = -12 x -intercept: y -intercept:

Explanation:

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

Substitute \( y = 0 \) into \( 7x - 8y = -12 \):
\( 7x - 8(0) = -12 \)
\( 7x = -12 \)
\( x = \frac{-12}{7} \)

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

Substitute \( x = 0 \) into \( 7x - 8y = -12 \):
\( 7(0) - 8y = -12 \)
\( -8y = -12 \)
\( y = \frac{-12}{-8} = \frac{3}{2} \)

Answer:

x-intercept: \(\boldsymbol{-\frac{12}{7}}\)
y-intercept: \(\boldsymbol{\frac{3}{2}}\)