SOLUTION: Find an equation in standard form of the line: A. through (2,-2) and (4,4) B. perpendicular to y=x+5 and through (0,8).

Algebra ->  Linear-equations -> SOLUTION: Find an equation in standard form of the line: A. through (2,-2) and (4,4) B. perpendicular to y=x+5 and through (0,8).      Log On


   

Question 206175: Find an equation in standard form of the line:
A. through (2,-2) and (4,4)
B. perpendicular to y=x+5 and through (0,8).
Answer by Marth(57) About Me  (Show Source):
You can put this solution on YOUR website!
A. Find the slope using m=%28y1-y2%29%2F%28x1-x2%29
Given the points (2,-2) and (4,4), m=%28-2-4%29%2F%282-4%29
m=%28-6%29%2F%28-2%29
m=3
Now use y-y1=m%28x-x1%29 to find the equation of the line.
Using the point (2,-2) and m=3, y-%28-2%29=3%28x-2%29
y%2B2=3x-6
y=3x-8
B. y=x%2B5 is in the form y=mx%2Bb, where m is the slope.
So m=1. The perpendicular slope is -1%2F1, or -1.
You are given the point (0,8) which is on the y axis. Using the slope intercept form y=mx%2Bb, we have y=-x%2B8