Question

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

$5x = 7y + 21$
slope:
slope - intercept form:

Explanation:

Step1: Isolate the y-term

$5x - 7y = 21 \implies -7y = -5x + 21$

Step2: Solve for y (divide by -7)

$y = \frac{-5}{-7}x + \frac{21}{-7} \implies y = \frac{5}{7}x - 3$

Step3: Identify the slope

From $y=mx+b$, $m=\frac{5}{7}$

Answer:

Slope-Intercept Form: $y = \frac{5}{7}x - 3$
Slope: $\frac{5}{7}$