Math problem please help

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Find the equation of the line that passes through the points $(-2, 1)$ and $(3, 3)$ . Write your answer in the form $y = mx + b$ please

CubeyThePenguin · Answer 1 · 2021-02-20T05:08:34

$\text{slope} = m = \frac{3-1}{3+2} = \frac{2}{5}$

Plug in (3, 3) into the equation y = mx + b.

$3 = \frac{2}{5}(3) + b \quad \rightarrow \quad b = \frac{9}{5}$

The equation is $\boxed{y = \frac{2}{5}x + \frac{9}{5}.}$