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)