# Question #3a487

Oct 3, 2016

The slope is $m = \frac{3}{4}$
The equation is: $y = \frac{3}{4} x + \frac{6}{4}$

#### Explanation:

The slope, m is:

$m = \frac{{y}_{1} - {y}_{2}}{{x}_{1} - {x}_{2}}$

Using the points $\left(- 3 , - 0.75\right)$ and $\left(- 2 , 0\right)$:

$m = \frac{- 0.75 - 0}{- 3 - - 2}$

$m = \frac{- 0.75}{- 1}$

$m = \frac{3}{4}$

Using, $y = m x + b$ and the point (-2, 0):

$0 = \frac{3}{4} \left(- 2\right) + b$

$b = \frac{6}{4}$

The equation is: $y = \frac{3}{4} x + \frac{6}{4}$