SOLUTION: What is the equation, in point-slope form, for a line that goes through (8, -4) and has a slope -5/6 A. y + 4 = -5/6(x + 8) B. y + 4 = -5/6(x - 8) C. y - 4 = -5/6(x - 8) D. y

Algebra ->  Linear-equations -> SOLUTION: What is the equation, in point-slope form, for a line that goes through (8, -4) and has a slope -5/6 A. y + 4 = -5/6(x + 8) B. y + 4 = -5/6(x - 8) C. y - 4 = -5/6(x - 8) D. y      Log On


   

Question 1096850: What is the equation, in point-slope form, for a line that goes through (8, -4) and has a slope -5/6
A. y + 4 = -5/6(x + 8)
B. y + 4 = -5/6(x - 8)
C. y - 4 = -5/6(x - 8)
D. y - 4 + -5/6(x + 8)
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
Point Slope form in general is y+-+y%5B1%5D+=+m%28x+-+x%5B1%5D%29
where,
m = slope
(x1,y1) = a point the line goes through

In this case,
m = -5/6
(x1,y1) = (8,-4) meaning that x1 = 8 and y1 = -4

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So,
y+-+y%5B1%5D+=+m%28x+-+x%5B1%5D%29

y+-+y%5B1%5D+=+expr%28-5%2F6%29%28x+-+x%5B1%5D%29 Plug in the given slope m = -5/6

y+-+y%5B1%5D+=+expr%28-5%2F6%29%28x+-+8%29 Plug in the x coordinate of the given point (x1 = 8)

y+-+%28-4%29+=+expr%28-5%2F6%29%28x+-+8%29 Plug in the y coordinate of the given point (y1 = -4)

y+%2B+4+=+expr%28-5%2F6%29%28x+-+8%29 Rewrite y-%28-4%29 as y%2B4

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The final answer is y+%2B+4+=+expr%28-5%2F6%29%28x+-+8%29 which is choice B