SOLUTION: A line passes through the point 8, 4 and has a slope of -3/4 Write an equation in slope-intercept form for this line.

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Question 924519: A line passes through the point
8, 4
and has a slope of
-3/4
Write an equation in slope-intercept form for this line.
Found 2 solutions by josgarithmetic, MathLover1:
Answer by josgarithmetic(39617) About Me  (Show Source):
You can put this solution on YOUR website!
Plug the values into the form.
y=mx+b is the form generally.
m=-3/4 and you can find b if you solve the general form for it, IN TERMS OF y AND x.

b=y-mx, and evaluate this for x=8 and y=4.

Answer by MathLover1(20849) About Me  (Show Source):
You can put this solution on YOUR website!
What we know about the line whose equation we are trying to find out:

it goes through point (8, 4)
it has a slope of -3%2F4+
the formula for the equation, given point (x%5B1%5D,y%5B1%5D) and slope m, is:

y-y%5B1%5D+=+m%28x+-x%5B1%5D%29.......plug in x%5B1%5D=8,y%5B1%5D=4 and m=-3%2F4+
y+-4+=+%28-3%2F4%29%28x+-8%29
y+-4+=+%28-3%2F4%29x-cross%288%292%28-3%2Fcross%284%29%29
y+-4+=+%28-3%2F4%29x+-2%28-3%29
y+-4+=+%28-3%2F4%29x+%2B6
y+=+%28-3%2F4%29x+%2B6%2B4
y+=+%28-3%2F4%29x+%2B10