SOLUTION: Write a slope intercept equation for a line passing through the given point that is parallel to the given line. Write equation for a line passing through the given point that is pe

Algebra ->  Graphs -> SOLUTION: Write a slope intercept equation for a line passing through the given point that is parallel to the given line. Write equation for a line passing through the given point that is pe      Log On


   

Question 1019000: Write a slope intercept equation for a line passing through the given point that is parallel to the given line. Write equation for a line passing through the given point that is perpendicular to the given line.
(1,-3); 3x+5y=6
I've been working this question for a few hours & can't seem to figure out the parallel & perpendicular lines. Please help!
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
Change to slope intercept form.
5y=-3x%2B6
y=-%283%2F5%29x%2B6%2F5
Parallel lines have identical slopes,
m%5B1%5D=m%5B2%5D=-3%2F5
Using the point slope form,
y-%28-3%29=-%283%2F5%29%28x-1%29
y%2B3=-%283%2F5%29%28x-1%29
5y%2B15=-3%28x-1%29
5y%2B15=-3x%2B3
3x%2B5y=-12
Perpendicular lines have slopes that are negative reciprocals,
m%5B1%5D%2Am%5B2%5D=-1
m%5B2%5D=-1%2Fm%5B1%5D=-1%2F%28-3%2F5%29=5%2F3
So then,
y-%28-3%29=%285%2F3%29%28x-1%29
y%2B3=%285%2F3%29%28x-1%29
3y%2B9=5x-5
-5x%2B3y=-14
5x-3y=14
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