SOLUTION: What is the equation of the line that is parallel to y = -5x + 12, and passes through the point (-2, 1) ?

Algebra ->  Linear-equations -> SOLUTION: What is the equation of the line that is parallel to y = -5x + 12, and passes through the point (-2, 1) ?       Log On


   

Question 1193140: What is the equation of the line that is parallel to
y = -5x + 12, and passes through the point (-2, 1) ?

Found 2 solutions by Edwin McCravy, greenestamps:
Answer by Edwin McCravy(20055) About Me  (Show Source):
You can put this solution on YOUR website!

Parallel lines always have to same slope m.

Compare the given equation:

y=-5x%2B12

with

y=mx%2Bb

to find the value of m.

We know that since the answer is to be parallel to the
line with the given equation, it must have the same 
slope m. 

So substitute that value of m, and also

%28matrix%281%2C3%2Cx%5B1%5D%2C%22%2C%22%2Cy%5B1%5D%29%29%22%22=%22%22%28matrix%281%2C3%2C-2%5B%22%22%5D%2C%22%2C%22%2C1%5B%22%22%5D%29%29

into the point-slope form of a line, which is (you
should memorize):

y-y%5B1%5D%22%22=%22%22m%28x-x%5B1%5D%29

and simplify if necessary.  You finish.

Edwin

Answer by greenestamps(13200) About Me  (Show Source):
You can put this solution on YOUR website!


Any line parallel to the line with equation y=-5x+12 will have an equation of the form y=-5x+C where C is some constant.

To find the equation of the line that is parallel to the given line and passing through a given point, substitute the x and y coordinates of the given point to find the constant C.

y=-5x%2BC
1=-5%28-2%29%2BC
1=10%2BC
C=-9

ANSWER: y=-5x-9