Find the equation of the line through the points (-2,10) and (4,-8) y= ________
Mathematics · High School · Mon Jan 18 2021
Answered on
Given the points:
(-2, 10)
(4, 8)
x1= -2
x2 = 4
y1 = 10
y2= 8
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= (8 -10)/(4 - (-2))
m = -2 / (4 + 2)
m = -2/ 6
m= -⅓
Substitute the given values of x1, m and y1 to the formula for the point-slope form.
y - 10 = -⅓ ( x -(-2))
y - 10 = -⅓ ( x + 2)
Final answer:
y - 10 = -⅓ ( x + 2)