SOLUTION: Hi I need help to this question please: Write an equation of the line containing the given point and perpendicular to the given line. Express your answer in the form y=mx+b.

Algebra ->  Functions -> SOLUTION: Hi I need help to this question please: Write an equation of the line containing the given point and perpendicular to the given line. Express your answer in the form y=mx+b.       Log On


   

Question 901787: Hi I need help to this question please:
Write an equation of the line containing the given point and perpendicular to the given line. Express your answer in the form y=mx+b.
(4,8) 9x+y=8

Will you please help me solve this question and show how to solve it also. Thank you.
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
Perpendicular lines have slopes that are negative reciprocals.
Change the line to slope-intercept form to find the slope.
9x%2By=8
y=-9x%2B8
m=-9
So then,
m%5Bp%5D%2A%28-9%29=-1
m%5Bp%5D=1%2F9
Use this new slope and the point-slope form of a line, then convert to slope intercept form.
y-8=%281%2F9%29%28x-4%29
y-8=%281%2F9%29x-4%2F9
y=%281%2F9%29x-4%2F9%2B72%2F9
highlight_green%28y=%281%2F9%29x%2B68%2F9%29
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