What is the equation of the line between (-1,7) and (2, 15).
Mathematics · High School · Thu Feb 04 2021
Answered on
Given the points:
(-1, 7)
(2, 15)
x1= -1
x2 = 2
y1 = 7
y2= 15
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= (15 -7)/(2 - (-1))
m = 8/2 + 1
m= 8/3
Substitute the given values of x1, m and y1 to the formula for the point-slope form.
y - 7 = 8/3 ( x - ( - 1))
y - 7 = 8/3 ( x + 1)
Final answer:
y - 7 = 8/3 ( x + 1)