what is the equation of the line that passes through (4,-1) and (-2,3)

Mathematics · Middle School · Tue Nov 03 2020

Answered on

Given the points:

(4, -1)

(-2, 3)

x1= 4

x2 = -2

y1 = -1

y2= 3

Write the equation of the line:

The equation of the line can be writtten in point-slope form,

Point-slope form:

y - y1 =m(x -x1)

Solution:

Before we can write in point-slope form, we must first find the slope of the line, we can find the slope by using the slope formula.

m = y2 -y1 /x2 -x1

m= (3 - (-1))/(-2 - 4)

m = 4/-6

m= -⅔

Substitute the given values of x1, m and y1 to the formula for the point-slope form.

y - (-1) = -⅔ ( x -4)

y + 1 = -⅔ (x - 4)

Final answer:

y + 1 = -⅔ (x - 4)