Which is an equation in point-slope form of the line that passes through the points (4, 5) and (−3, −1) ?
Mathematics · Middle School · Thu Feb 04 2021
Answered on
Given the points:
(4, 5)
(-3, -1)
x1= 4
x2 = -3
y1 = 5
y2= -1
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= (-1 -5)/(-3 - 4)
m = -6/-7
m= 6/7
Substitute the given values of x1, m and y1 to the formula for the point-slope form.
y - 5 = 6/7( x - 4 )
Final answer:
y - 5 = 6/7( x - 4 )