SOLUTION: Find the equation of the line that contains the given points. P1(7, 2), P2(4, 4)

Algebra ->  Coordinate-system -> SOLUTION: Find the equation of the line that contains the given points. P1(7, 2), P2(4, 4)      Log On


   

Question 1182385: Find the equation of the line that contains the given points.
P1(7, 2), P2(4, 4)
Answer by MathLover1(20850) About Me  (Show Source):
You can put this solution on YOUR website!

the equation of the line that contains the given points:
P1(7, 2), P2(4, 4)
use points to find a slope
m=%284-2%29%2F%284-7%29
m=2%2F%28-3%29
m=-2%2F3

use point slope formula

y-y%5B1%5D=m%28x-x%5B1%5D%29.......substitute m=-2%2F3 and (4, 4)
y-4=-%282%2F3%29%28x-4%29
y-4=-%282%2F3%29x%2B%282%2F3%294
y=-%282%2F3%29x%2B8%2F3%2B4
y=-%282%2F3%29x%2B20%2F3