SOLUTION: How do I find the slope-intercept form of Parallel to the line y = -3x+5; passes through (-4,5)

Algebra ->  Test -> SOLUTION: How do I find the slope-intercept form of Parallel to the line y = -3x+5; passes through (-4,5)      Log On


   

Question 1150250: How do I find the slope-intercept form of Parallel to the line y = -3x+5; passes through (-4,5)
Found 2 solutions by josgarithmetic, Theo:
Answer by josgarithmetic(39620) About Me  (Show Source):
Answer by Theo(13342) About Me  (Show Source):
You can put this solution on YOUR website!
you want the line parallel to y = -3x + 5.

the slope intercept form of the equation of a straight line is:

y = mx + b

m is the slope
b is the y-intercept.

if your line is parallel to the given line, then the slope has to be the same.

the equation of your line becomes:

y = -3x + b

to find the value of b, use a point on the line and replace y with the y-coordinate and x with the x-coordinate.

using the point (-4,5), you will get:

5 = -3 * -4 + b

this becomes 5 = 12 + b

solve for b to get b = -7

your equation becomes y = -3x - 7

the graph of both equations is shown below.

$$$

the given equation of y = -3x + 5 is in red.

the equation of y = -3x - 7, the line parallel to it and passing through the point (-4,5), is in blue.