SOLUTION: WRITE AN EQUATION FOR THE POINT-SLOPE L GIVEN A POINT OF (-1,1) AND IS PARALLEL TO Y=2X

Algebra ->  Linear-equations -> SOLUTION: WRITE AN EQUATION FOR THE POINT-SLOPE L GIVEN A POINT OF (-1,1) AND IS PARALLEL TO Y=2X      Log On


   

Question 729462: WRITE AN EQUATION FOR THE POINT-SLOPE L GIVEN A POINT OF (-1,1) AND IS PARALLEL TO Y=2X
Answer by MathLover1(20849) About Me  (Show Source):
You can put this solution on YOUR website!

Solved by pluggable solver: Finding the Equation of a Line Parallel or Perpendicular to a Given Line


Since any two parallel lines have the same slope we know the slope of the unknown line is 2 (its from the slope of y=2%2Ax%2B0 which is also 2). Also since the unknown line goes through (1,-1), we can find the equation by plugging in this info into the point-slope formula

Point-Slope Formula:

y-y%5B1%5D=m%28x-x%5B1%5D%29 where m is the slope and (x%5B1%5D,y%5B1%5D) is the given point



y%2B1=2%2A%28x-1%29 Plug in m=2, x%5B1%5D=1, and y%5B1%5D=-1



y%2B1=2%2Ax-%282%29%281%29 Distribute 2



y%2B1=2%2Ax-2 Multiply



y=2%2Ax-2-1Subtract -1 from both sides to isolate y

y=2%2Ax-3 Combine like terms

So the equation of the line that is parallel to y=2%2Ax%2B0 and goes through (1,-1) is y=2%2Ax-3


So here are the graphs of the equations y=2%2Ax%2B0 and y=2%2Ax-3



graph of the given equation y=2%2Ax%2B0 (red) and graph of the line y=2%2Ax-3(green) that is parallel to the given graph and goes through (1,-1)