Choose the point-slope form of the equation below that represents the line that passes through the points (−6, 4) and (2, 0).
Mathematics · High School · Tue Nov 03 2020
Answered on
Given the points:
(-6, 4)
(2, 0)
x1= -6
x2 = 2
y1 = 4
y2= 0
Write the equation 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= (0 - 4)/(2 - (-6))
m = -4/8
m= - 1/2
Substitute the given values of x1, m and y1 to the formula for the point-slope form.
y -4 = -1/2 ( x -(-6))
y -4 = -1/2 ( x + 6)
Final answer:
y -4 = -1/2 ( x + 6)