can you explain how to do this step by step on how to do this problem Write final equation in standard form (-2,-3),(2,7)

Question

can you explain how to do this step by step on how to do this problem Write final equation in standard form (-2,-3),(2,7)

Answer 1

Point-Slope form: y-y1 = m(x-x1)

m = (y2-y1)/(x2-x1)

 

1) Get the slope (m).

 (7 - -3)/(2 - -2) = 10/4 = 5/2

 

2) Plug in the slope and either of the points into PSF.

 

y - (-3) = 5/2(x-(-2))

y + 3 = 5x/2 + 5

y = 5x/2+ 2

 

3) Double check that by trying the other point.

 

y - 7 = 5/2(x-2)

y-7 = 5x/2 - 5

y = 5x/2 + 2