SOLUTION: Find the equation of the line that contains the point P(4, 3) and is parallel to the graph of 5x + y = −3.

Algebra ->  Graphs -> SOLUTION: Find the equation of the line that contains the point P(4, 3) and is parallel to the graph of 5x + y = −3.       Log On


   

Question 998110: Find the equation of the line that contains the point
P(4, 3)
and is parallel to the graph of
5x + y = −3.


Found 2 solutions by Alan3354, fractalier:
Answer by Alan3354(69443) About Me  (Show Source):
You can put this solution on YOUR website!
Find the equation of the line that contains the point
P(4, 3)
and is parallel to the graph of
5x + y = -3.
-------
Find the slope of the line.
y = -5x - 3
m = -5
--------
Parallel lines have the same slope.
--
Use y-y1 = m*(x-x1) where (x1,y1) is the point and m is the slope.

Answer by fractalier(6550) About Me  (Show Source):
You can put this solution on YOUR website!
Let us determine the slope of 5x + y = -3 first.
Rearranging we get
y = -5x - 3
This tells us the slope is -5. We want the same slope since the lines are parallel. Now use the point-slope form...
y - 3 = -5(x - 4)
y - 3 = -5x + 20
and
y = -5x + 23