Write the equation of the line passing through the points below. (-3,-8),(-6,2)
Mathematics · College · Tue Nov 03 2020
Answered on
Given the points:
(-3, -8)
(-6, 2)
x1= -3
x2 = -6
y1 = -8
y2= 2
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= (-11 -(-3))/(2 - (-8))
m= (-11 + 3)/(2 + 8)
m = -8/10
m = -4/5
Substitute the given values of x1, m and y1 to the formula for the point-slope form.
y - (-8) = -4/5 ( x - (-3))
y + 8 = -4/5 ( x + 3 )
Final answer:
y + 8 = -4/5 ( x + 3 )