SOLUTION: slope -1/4 through (-10,5) write in slope intercept form

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Question 993976: slope -1/4 through (-10,5) write in slope intercept form
Found 4 solutions by josgarithmetic, stanbon, rfer, MathLover1:
Answer by josgarithmetic(39617) About Me  (Show Source):
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Point-slope form, y-5=%28-1%2F4%29%28x-%28-10%29%29

y-5=-x%2F4-10%2F4
y=-x%2F4-5%2F2%2B5
y=-x%2F4-5%2F2%2B10%2F2
highlight%28y=-x%2F4%2B5%2F2%29-----now in slope-intercept form

Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
slope -1/4 through (-10,5) write in slope intercept form
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Form: y = mx + b
Solve for "b"::
5 = (-1/4)(-10) + b
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5 = (5/2) + b
b = (5/2)
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Equation:
y = (-1/4)x + (5/2)
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Cheers,
Stan H.
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Answer by rfer(16322) About Me  (Show Source):
Answer by MathLover1(20849) About Me  (Show Source):
You can put this solution on YOUR website!
given:
slope m=-1%2F4
point (-10,5)
slope intercept form: y=mx%2Bb where m is a slope and b y-intercept
since we already know the slope, we need to find y-intercept and we can do it using given data
y=mx%2Bb...plug in given m=-1%2F4,x=-10, and y=5 and find b
5=-%281%2F4%29%28-10%29%2Bb
5=-%281%2F2%29%28-5%29%2Bb
5=5%2F2%2Bb
5-5%2F2=b
10%2F2-5%2F2=b
b=5%2F2

so, your equation is:
y=+-%281%2F4%29x%2B5%2F2