Question

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

$3y - 5 = 4x + 7$
slope:
slope-intercept form:

Explanation:

Step1: Isolate the y-term

Add 5 to both sides:
$3y - 5 + 5 = 4x + 7 + 5$
$3y = 4x + 12$

Step2: Solve for y

Divide all terms by 3:
$\frac{3y}{3} = \frac{4x}{3} + \frac{12}{3}$
$y = \frac{4}{3}x + 4$

Step3: Identify the slope

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

Answer:

Slope-Intercept Form: $y = \frac{4}{3}x + 4$
Slope: $\frac{4}{3}$