# Write the point slope form of the equation given (0,-2) and (-1,2)

Write the point slope form of the equation given (0,-2) and (-1,2)
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Kendall Ponce
Begin with finding the slope by using the slope formula: $m=\frac{{y}_{2}-{y}_{1}}{{x}_{2}-{x}_{1}}$
If we let $\left(0,-2\right)\to \left({x}_{1},{y}_{1}\right)$ and $\left(-1,2\right)\to \left({x}_{2},{y}_{2}\right)$ then,
$m=\frac{2-\left(-2\right)}{-1-0}=\frac{4}{-1}=-4$
Using the slope and any of the two points above, we can determine the slope of the line in point-slope form by using this formula: $y-{y}_{1}=m\left(x-{x}_{1}\right)$. I will use the point (0,−2)
If we let m=−4 and $\left(0,-2\right)\to \left({x}_{1},{y}_{1}\right)$ then:
y−(−2)=−4(x−0)
y+2=−4(x−0)