what is the equation in point slope form of the point (2,-5) and (0,3)

Mathematics · Middle School · Tue Nov 03 2020

Answered on

Given:

(2, -5)

(0, 3)

x1 = 2

x2 = 0

y1 = -5

y2 = 3

Determine the equation in point-slope form.

Point-slope form:

y - y1 = m(x - x1)

Formula for the slope of the line:

m = change in y/ change in x

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

Solution:

Before finding the point-slope form, we must first find the slope of the line.

m = (3 - (-5))/ 0 - 2

m = 8/-2

m = -4

Substitute the values to the equation on point-slope form.

y - (-5) = -4 ( x - 2)

y + 5 = -4x + 8

Final answer:

Point-Slope form:

y + 5 = -4x + 8