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# coordinates

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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.

May 6, 2021

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$$\text{slope} = m = \frac{3 - 1}{-3 - (-2)} = -2$$

Plug in one of the points, such as (-2, 1).

$$y=mx+b$$

$$1 = -2(-2) + b$$

$$-3= b$$

Therefore, the equation is $$\boxed{y = -2x -3}$$.

May 6, 2021