Question

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

$3x + 6y = 18$
slope:
slope-intercept form:

Explanation:

Step1: Divide all terms by 3

$\frac{3x}{3} + \frac{6y}{3} = \frac{18}{3}$
Simplify to: $x + 2y = 6$

Step2: Isolate the y-term

$2y = -x + 6$

Step3: Solve for y

$y = \frac{-x + 6}{2}$
Simplify to: $y = -\frac{1}{2}x + 3$

Step4: Identify the slope

In $y=mx+b$, $m$ is slope.

Answer:

Slope-Intercept Form: $y = -\frac{1}{2}x + 3$
Slope: $-\frac{1}{2}$