How to find the equation of a curve - High School Math

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Question

What line goes through points and ?

Answer

First, we find the slope between the two points:

$P_{1}=(-3,-7)$ and $P_{2}=(2,3)$

$m= \frac{y_{2} - y_{1}}{x_{2}-x_{1}}=\frac{3-(-7)}{2-(-3)}=\frac{10}{5}=2$

Plug the slope and one point into the slope-intercept form to calculate the intercept:

Thus the equation between the points becomes .

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