SOLUTION: Determine whether the graphs of the equations are perpendicular lines. {{{y=-4x + 3}}} and {{{4y + x = -1}}}

Algebra ->  Graphs -> SOLUTION: Determine whether the graphs of the equations are perpendicular lines. {{{y=-4x + 3}}} and {{{4y + x = -1}}}      Log On


   

Question 830486: Determine whether the graphs of the equations are perpendicular lines.
y=-4x+%2B+3 and 4y+%2B+x+=+-1
Answer by josgarithmetic(39617) About Me  (Show Source):
You can put this solution on YOUR website!
Put the second equation into slope-intercept form. Now compare the slopes of the two equations.

4y%2Bx=-1
4y=-x-1
y=-x%2F4-1%2F4

The slope of this equation is -(1/4), and slope of the first equation, already given in slope-intercept form, is -4.
-
What is their product?
-%281%2F4%29%2A4=-1
YES, the equations are perpendicular. (product of the two slopes is Negative One).