Complete the point slope equation of the line through Use exact numbers. through (-9, 6) and (-7, -8).
Mathematics · Middle School · Thu Feb 04 2021
Answered on
Given the points:
(-9, 6)
(-7, -8)
x1= -9
x2 = -7
y1 = 6
y2= -8
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 = ( -8 - 6 ) / ( -7 - (-9))
m = ( -8 - 6 ) / ( -7 + 9 )
m = ( -14 ) / ( 2 )
m = 7
Substitute the given values of x1, m and y1 to the formula for the point-slope form.
y - 6 = 7 ( x - (-9))
y - 6 = 7 ( x + 9)
Final answer:
y - 6 = 7 ( x + 9)