SOLUTION: Find an equation for the line perpendicular to the line 8x+3y= -2 having the same y-intercept as -8x+4y=2. thank you:)

Algebra ->  Coordinate Systems and Linear Equations -> SOLUTION: Find an equation for the line perpendicular to the line 8x+3y= -2 having the same y-intercept as -8x+4y=2. thank you:)      Log On


   



Question 977333: Find an equation for the line perpendicular to the line 8x+3y= -2 having the same y-intercept as -8x+4y=2.
thank you:)

Answer by lwsshak3(11628) About Me  (Show Source):
You can put this solution on YOUR website!
Find an equation for the line perpendicular to the line 8x+3y= -2 having the same y-intercept as -8x+4y=2.
***
slope-intercept form of equation for a line: y=mx+b, m=slope, b=y-intercept
-8x+4y=2
4y=8x+2
y=2x+1/2
slope, m=2 y-intercept, b=1/2
..
For perpendicular line:
m=-1/2 (negative reciprocal)
equation: y=-x/2+1/2
see graph below:
+graph%28+300%2C+300%2C+-4%2C4%2C+-4%2C+4%2C+2x%2B1%2F2%2C+-x%2F2%2B1%2F2%29+