Write a equation of the lines passes through the given points (-2,7) (1,1) the equation is?
Mathematics · Middle School · Thu Feb 04 2021
Answered on
Given the points:
(-2, 7)
(1, 1)
x1= -2
x2 = 1
y1 = 7
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= (7 -1)/(1 - (-2))
m = 6/3
m= 2
Substitute the given values of x1, m and y1 to the formula for the point-slope form.
y - 1 = 2 ( x -(-2))
y - 1 = 2 ( x + 2 )
Final answer:
y - 1 = 2 ( x + 2 )