Write an equation that represents the line going through the points (-2, -11) and (2, -1) PLEASE HELP NOWWW
Mathematics · High School · Thu Feb 04 2021
Answered on
Given the points:
(-2, -11)
(2, -1)
x1= -2
x2 = 2
y1 = -11
y2= -1
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= (-1 - (-11))/(2 - (-2))
m= (-1 + 11 )/(2 + 2)
m = 10/4
m= 5/2
Substitute the given values of x1, m and y1 to the formula for the point-slope form.
y - (-11) = 5/2 ( x - (-2))
y + 5 = 5/2 ( x + 2 )
Final answer:
y + 5 = 5/2 ( x + 2 )