Question

semester 1: unit 2 exam review

1. rewrite $4x - 2y = 12$ into slope-intercept form.

then state:

• slope:
• y-intercept:

a) slope: $square$
b) y-intercept: $square$

Explanation:

Step1: Isolate the y-term

$4x - 2y = 12 \implies -2y = -4x + 12$

Step2: Solve for y (slope-intercept)

$\frac{-2y}{-2} = \frac{-4x}{-2} + \frac{12}{-2} \implies y = 2x - 6$

Step3: Identify slope

Slope is coefficient of $x$: $m=2$

Step4: Identify y-intercept

Y-intercept is constant term: $b=-6$

Answer:

a) slope: $2$
b) y-intercept: $-6$