SOLUTION: please help me with this problem 1.y=-3x-6;(-1,5) Write the equation of a line parallel to the given line but passing through the given point. 2. y=-1/3x-4;(-6,-3)Write the equat

Question 749471: please help me with this problem
1.y=-3x-6;(-1,5) Write the equation of a line parallel to the given line but passing through the given point.
2. y=-1/3x-4;(-6,-3)Write the equation of a line perpendicular to the given line but passing through the given point.
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
1.y=-3x-6;(-1,5) Write the equation of a line parallel to the given line but passing through the given point.
Slope of the given equation is -3, so the parallel line has slope = -3.
--------
Form: y = mx + b
Solve for "b":
5 = -3*-1 + b
b = 2
----
Equation:
y = -3x + 2
================
2. y=-1/3x-4;(-6,-3) Write the equation of a line perpendicular to the given line but passing through the given point.
-------
The given line has slope -1/3, so the perpendicular line has slope 3.
Form: y = mx + b
-3 = 3*-6 + b
-3 = -18 + b
b = 15
-----
Equation:
y = 3x + 15
=================
Cheers,
Stan H.
=================
RELATED QUESTIONS
Write the equation of a line parallel to the given line but passing through the given... (answered by Cromlix)

HELP WITH ALGEBRAIC PROBLEMS!!! Write the equation of a line parallel to the given... (answered by stanbon,Fombitz,josmiceli)

Write the equation of a line parallel to the given line but passing through the given... (answered by jim_thompson5910)

I am having a dog of a time trying to solve these problems, please help me. Write the... (answered by scott8148)

Write a slope intercept equation for a line passing through the given point that is... (answered by Fombitz)

Write the equation of a line parallel to the given line but passing through the given... (answered by stanbon)

Y=1/4x-2;(8,-1) write the equation of a line parallel to the given line but passing... (answered by Tatiana_Stebko)

Write the equation of a line parallel to the given line but passing through the given... (answered by TimothyLamb)

Please assist, Write the equation of a line perpendicular to the given line but... (answered by KMST)