Question

(Point-slope form equation could be produced with the points (2,-6) and (4,3)

Answer 1

y - 3 = (9/2)(x - 4)

Explanation:

1) Calculate the slope:

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

m = (-6 - 3) / (2 - 4)

m = -9/-2

m = 9/2

2) Substitute the slope into point-slope form y - y1 = m(x - x1):

y - y1 = (9/2)(x - x1)

3) Substitute any point into the equation

(4,3)

y - 3 = (9/2)(x - 4)