SOLUTION: Determine whether y=-1/2x+1, y=2x+1 are parallel, perpendicular, or neither.

Algebra ->  Graphs -> SOLUTION: Determine whether y=-1/2x+1, y=2x+1 are parallel, perpendicular, or neither.      Log On


   

Question 472809: Determine whether y=-1/2x+1, y=2x+1 are parallel, perpendicular, or neither.
Answer by MathLover1(20850) About Me  (Show Source):
You can put this solution on YOUR website!
y=-%281%2F2%29x%2B1
y=2x%2B1.....these are equations of a line in slope-intercept+form
so you can see from given that a slope of y=-1%2F2x%2B1 is m=-%281%2F2%29 and a slope of y=2x%2B1 is m1=2
If I were to flip the "2" and then change its sign, I would get " -1%2F2". In other words, these slopes are negative+reciprocals, so the lines through the points are perpendicular.
here is a proof:
+graph%28+500%2C+500%2C+-10%2C+10%2C+-10%2C+10%2C-%281%2F2%29x%2B1%2C+2x%2B1%29+