SOLUTION: Hey, I really need some help on this problem.. I just can't understand it. If you could help me I would really appricate it. Thanks in advance. Write an equation for the line

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Question 152335: Hey, I really need some help on this problem.. I just can't understand it. If you could help me I would really appricate it. Thanks in advance.

Write an equation for the line that is parallel in the given line and that passes through the given point.

#58) y = -3x ; (3,0)
Answer by Earlsdon(6294) (Show Source):
You can put this solution on YOUR website!
An equation for the line that is parallel to the line: y = -3x and which passes through the point (3, 0).
First, you should recall that parallel lines have the same slope.
The given line has a slope: m = -3, so the new line will have a slope of: m = -3.
So you can start by writing:
y = -3x+b Now you need to find the value of b, the y-intercept. This can be done by substituting the x- and y-coordinate values of the given point (3, 0) into the equation y = -3x+b and solving for b.
0 = -3(3) + b
0 = -9 + b
b = 9
Now you can write the final equation of the line that is parallel to the line whose equation is y = -3x and which passes through the point (3, 0)