SOLUTION: Given the points (1,-1) and (5,1), find the equation for the line is slope-intercept form and point-slope form through these points.

Algebra ->  Equations -> SOLUTION: Given the points (1,-1) and (5,1), find the equation for the line is slope-intercept form and point-slope form through these points.       Log On


   

Question 155079: Given the points (1,-1) and (5,1), find the equation for the line is slope-intercept form and point-slope form through these points.
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
The formula for the slope is,
m=%28y%5B2%5D-y%5B1%5D%29%2F%28x%5B2%5D-x%5B1%5D%29
Substituting the given points (1,-1) and (5,1),
m=%281-%28-1%29%29%2F%285-1%29
m=2%2F4=1%2F2
The point slope form is
y-y%5B1%5D=m%28x-x%5B1%5D%29
y-%28-1%29=%281%2F2%29%28x-1%29
y%2B1=%281%2F2%29%28x-1%29
Finally move everything but y over to the right hand side to get the slope-intercept form,
y=%281%2F2%29%28x-1%29-1
y=%281%2F2%29x-%281%2F2%29-1
y=%281%2F2%29x-3%2F2