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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

 Nov 9, 2020
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\(\text{slope} = m = \frac{3-1}{3+2} = \frac{2}{5}\)

 

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 \(\boxed{y = \frac{2}{5}x + \frac{9}{5}.}\)

 Feb 20, 2021

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