SOLUTION: The graph of the following system yields perpendicular lines. x + 2y = -10 -4y = 2x + 20 true or false?

Algebra ->  Test -> SOLUTION: The graph of the following system yields perpendicular lines. x + 2y = -10 -4y = 2x + 20 true or false?      Log On


   



Question 530426: The graph of the following system yields perpendicular lines.
x + 2y = -10
-4y = 2x + 20
true or false?

Answer by oberobic(2304) About Me  (Show Source):
You can put this solution on YOUR website!
Get both equations into slope-intercept form and determine if their slopes are inverse reciprocals.
.
x +2y = -10
2y = -x -10
y = -1/2*x -5
.
-4y = 2x + 20
y = -2/4*x + 20/-4
y = -1/2*x - 5
.
The lines' slopes are equal, so the lines are parallel.
In fact, the lines lie one on top of the other such that they appear to be same line.
.
Answer: False. The lines are not perpendicular.
.
The graph is useful.
.
+graph%28500%2C500%2C-10%2C10%2C-10%2C10%2C-1%2F2%2Ax-5%2C+-1%2F2%2Ax-5%29+
.
Done.