Question

write an equation of a line in slope - intercept form with the given slope and y - intercept.

1. slope: $-\frac{3}{4}$, y - intercept: $-2$
2. slope: $\frac{3}{8}$, y - intercept: 8

Explanation:

Step1: Recall slope-intercept form

The slope - intercept form of a line is $y = mx + b$, where $m$ is the slope and $b$ is the $y$-intercept.

Step2: Substitute values

Given that the slope $m=-\frac{3}{4}$ and the $y$-intercept $b = - 2$. Substitute these values into the slope - intercept form:
$y=-\frac{3}{4}x+(-2)$
Simplify the equation:
$y = -\frac{3}{4}x-2$

Answer:

$y = -\frac{3}{4}x - 2$