Question

find the x- and y- intercepts of each equation.

1. -4x + y = -12

Explanation:

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

Substitute \( y = 0 \) into \( -4x + y = -12 \):
\( -4x + 0 = -12 \)
Simplify: \( -4x = -12 \)
Divide by -4: \( x = \frac{-12}{-4} = 3 \)

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

Substitute \( x = 0 \) into \( -4x + y = -12 \):
\( -4(0) + y = -12 \)
Simplify: \( y = -12 \)

Answer:

x-intercept: \( 3 \) (or \( (3, 0) \)), y-intercept: \( -12 \) (or \( (0, -12) \))