SOLUTION: what is an equation that is in general form and is perpendicular to {{{ -4x+y-8=0 }}} and passes through the point (3,2)

Algebra ->  Linear-equations -> SOLUTION: what is an equation that is in general form and is perpendicular to {{{ -4x+y-8=0 }}} and passes through the point (3,2)      Log On


   

Question 994314: what is an equation that is in general form and is perpendicular to +-4x%2By-8=0+ and passes through the point (3,2)
Answer by macston(5194) About Me  (Show Source):
You can put this solution on YOUR website!
.
-4x%2By-8=0 . Re-write in slope intercept form
y=4x%2B8
From this we know the slope is 4. The slope of the
perpendicular line is the negative reciprocal (-1/4):
y=%28-1%2F4%29x%2Bb
Substitute the values from (3,2) to find b:
2=%28-1%2F4%293%2Bb
2=%28-3%2F4%29%2Bb
11%2F4=b
.
The equation:
y=%28-1%2F4%29x%2B%2811%2F4%29
.
Convert to general form:
4y=-x%2B11
x%2B4y-11=0
.