4. Find an equation for a line that goes through the points (2, -14) and (10, 10).
Mathematics · Middle School · Tue Nov 03 2020
Answered on
Given:
(2, -14)
(10, 10)
x1 = 2
x2 =10
y1 = -14
y2= 10
Determine the equation of the line.
Solution:
The equation of the line can be written in point-slope form.
Point slope form:
y - y1 = m(x - x1)
Before we can proceed, we must determine first the slope of the line (m).
m = y2 - y1 / x2 - x1
m = 10 -(-14)/10 - 2
m = 10 + 14/8
m = 24/8
m = 3
Now we can write in point slope form.
y - y1 = m(x - x1)
y - (-14) = 3(x - 2)
y + 14 = 3x - 6
Final answer:
The equation of the line: y + 14 = 3x - 6