SOLUTION: what is the line of the slope when -3/4 passes through (5, -2)

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Question 1131898: what is the line of the slope when -3/4 passes through (5, -2)
Found 2 solutions by greenestamps, MathLover1:
Answer by greenestamps(13200) About Me  (Show Source):
You can put this solution on YOUR website!


what is the line of the slope when -3/4 passes through (5, -2)

I will guess that the question is supposed to be

what is the equation of the line with slope -3/4 that passes through (5,-2)

y+=+mx%2Bb

The slope m is given as -3/4:

y+=+%28-3%2F4%29x%2Bb

Use the coordinates of the given point on the line (x,y) = (5,-2) to solve for b:

-2+=+%28-3%2F4%295%2Bb
-2+=+-15%2F4%2Bb
7%2F4+=+b

The equation is

y+=+%28-3%2F4%29x%2B7%2F4

Answer by MathLover1(20849) About Me  (Show Source):
You can put this solution on YOUR website!

you need point-slope formula:
y-y%5B1%5D=m%28x-x%5B1%5D%29
if the line has slope of-3%2F4 and passes through (5, -2), we have
y-%28-2%29=-%283%2F4%29%28x-5%29
y%2B2=-%283%2F4%29x-%283%2F4%29%28-5%29
y%2B2=-%283%2F4%29x%2B15%2F4
y=-%283%2F4%29x%2B15%2F4-2
y=-%283%2F4%29x%2B15%2F4-8%2F4
y=-%283%2F4%29x%2B7%2F4