Question

1. rewrite each equation in slope-intercept form by solvin the slope and y-intercept of the function.

a. $6x - 2y = 24$
equation:
slope:
y - intercept: ( , )

Explanation:

Step1: Isolate the y-term

$6x - 2y = 24 \implies -2y = -6x + 24$

Step2: Solve for y

$\frac{-2y}{-2} = \frac{-6x}{-2} + \frac{24}{-2} \implies y = 3x - 12$

Step3: Identify slope (m)

From $y=mx+b$, $m=3$

Step4: Identify y-intercept (x=0)

When $x=0$, $y=3(0)-12=-12$, so point is $(0, -12)$

Answer:

Equation: $y = 3x - 12$
Slope: $3$
y-intercept: $(0, -12)$