What is the equation in point−slope form of the line passing through (−2, −5) and (2, 3)?

a: (y + 2) = −2(x + 5)
b: (y − 2) = 2(x − 3)
c: (y − 3) = 2(x − 2)
d: (y + 3) = −2(x + 2)

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Your answer would be c)

Point slope form formula is y-y1=m(x-x1), where m is slope and x1 and y1 are coordinates to a point on your graph.

To find your slope, you will need to use the formula y2-y1/x2-x1, also known as change in y over change in x or rise over run. So then you would have [3-(-5)]/[2-(-2)], which gives you slope (m) =2.

Then you can rule out letters A and D because the slope in those answers is incorrect (-2).

Next, you take your coordinate points (x,y) (2,3) and substitute them in your equation.

So, you have y-3=2(x-2)

*notice that the difference between b and c is that the x and y values on the coordinate points are in the wrong places. You need to have y-(your y coordinate) and then x-(your x coordinate) in your point slope equation.