What equation represents the line that passes through the points (-3,7) and (9,-1)
Mathematics · Middle School · Tue Nov 03 2020
Answered on
Given the points:
(-3, 7)
(9, -1)
x1= -3
x2 = 9
y1 = 7
y2= -1
Write the equation of the line.
The equation of the line can be written 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= (-1 -7)/(9 - (-3))
m = -8/ 12
m= -4/3
Substitute the given values of x1, m and y1 to the formula for the point-slope form.
y - 7 = -4/3 ( x -(-3))
y - 7 = -4/3 ( x +3 )
Final answer:
y - 7 = -4/3 ( x +3 )