SOLUTION: How do I write a equation in slope-intercept form that passes through the given point and has the given slope (2,7); slope -4

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Question 1149639: How do I write a equation in slope-intercept form that passes through the given point and has the given slope (2,7); slope -4
Found 4 solutions by josgarithmetic, MathLover1, Alan3354, MathTherapy:
Answer by josgarithmetic(39617) About Me  (Show Source):
You can put this solution on YOUR website!
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..., equation in slope-intercept form that passes through the given point and has the given slope (h,k); slope m
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y-k=m%28x-h%29------------starting in point-slope form
y=m%28x-h%29%2Bk
y=mx-mh%2Bk
system%28y=mx-%28mh-k%29%2Cor%2Cy=xm%2B%28k-mh%29%29

Your example,
y=-4x%2B%287-%28-4%29%2A2%29
y=-4x%2B7%2B8
highlight%28y=-4x%2B15%29







-
recheck
y-7=-4(x-2)
y=-4x+8+7
okay

Answer by MathLover1(20850) About Me  (Show Source):
You can put this solution on YOUR website!

a equation in slope-intercept form:
y=mx%2Bb where m is a slope and b y-intercept
given:
m=-4
point: (2,7)=(x,y)
plug in given data
7=-4%2A2%2Bb ...solve for b
7=-8%2Bb
7%2B8=b
b=15

and, your equation is: y=-4x%2B15



Answer by Alan3354(69443) About Me  (Show Source):
You can put this solution on YOUR website!
How do I write a equation in slope-intercept form that passes through the given point and has the given slope (2,7); slope -4
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Find the y-intercept, b
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b = 7 - m*2 = 15
---> y = -4x + 15

Answer by MathTherapy(10552) About Me  (Show Source):
You can put this solution on YOUR website!
How do I write a equation in slope-intercept form that passes through the given point and has the given slope (2,7); slope -4
Use the point-slope formula: