Write an equation in Point-Slope Form that passes through the points (2,-3) and (4,7)

Answer 1

The slope between the given points is:

m=(7-(-3))/(4-2) = 10/2 = 5

OR

m=(-3-7)/(2-4)= -10/-2 = 5

Point-Slope:

y - y₁=m(x - x₁) where (x₁,y₁) represent the coordinates of one of the known points:

Using (2, -3):

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

y + 3 = 5(x-2)

Converting to slope-intercept:

y = 5x - 10 -3

y = 5x -13

Using (4, 7):

y - 7 = 5(x - 4)

Converting to slope-intercept:

y = 5x - 20 + 7

y = 5x - 13

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