SOLUTION: Write an equation for the line based on the given information: through (2,1) and (-2,5).

Algebra ->  Linear-equations -> SOLUTION: Write an equation for the line based on the given information: through (2,1) and (-2,5).       Log On


   

Question 1176227: Write an equation for the line based on the given information: through (2,1) and (-2,5).

Answer by MathLover1(20850) About Me  (Show Source):
You can put this solution on YOUR website!

an equation for the line is
y=mx%2Bb where m is a slope and b is y-intercept
given information:
line passes through (2,1) and (-2,5)
use it to find a slope
m=%28y%5B2%5D-y%5B1%5D%29%2F%28x%5B2%5D-x%5B1%5D%29
m=%285-1%29%2F%28-2-2%29
m=4%2F-4
m=-1
so far equation is
y=-x%2Bb ......use one point to find b
1=-2%2Bb
1%2B2=b
b=3
and your equation is
y=-x%2B3