Question

1. convert the linear equation below to slope-intercept form and identify the slope.

$y - 4 = -4(x + 3)$
slope:
slope-intercept form:

Explanation:

Step1: Expand the right-hand side

$y - 4 = -4x - 12$

Step2: Isolate $y$ by adding 4 to both sides

$y = -4x - 12 + 4$

Step3: Simplify the constant terms

$y = -4x - 8$

Step4: Identify the slope (coefficient of $x$)

Slope is the coefficient of $x$ in $y=mx+b$

Answer:

Slope: $-4$
Slope-Intercept Form: $y = -4x - 8$