SOLUTION: I need to write and equation in slope -intercept form of the line that passes through the given point and is parrallel to the graph of each equation 5x-4y=1;(-8,2)

Algebra ->  Equations -> SOLUTION: I need to write and equation in slope -intercept form of the line that passes through the given point and is parrallel to the graph of each equation 5x-4y=1;(-8,2)      Log On


   

Question 693611: I need to write and equation in slope -intercept form of the line that passes through the given point and is parrallel to the graph of each equation
5x-4y=1;(-8,2)
Answer by ReadingBoosters(3246) About Me  (Show Source):
You can put this solution on YOUR website!
Parallel lines have the SAME slope
In 5x - 4y = 1, solve for y
4y = 5x - 1
y = 5%2F4x+-+1%2F4 has a slope of 5%2F4
...
Using the slope of 5%2F4 and the point (-8, 2), apply the point-slope formula: y-y1=m(x-x1)
y - 2 = 5%2F4(x--8)
y - 2 = %285%2F4%29x+%2B+%285%2F4%29%288%29
y-2 = %285%2F4%29x+%2B+10
y = %285%2F4%29x+%2B+10+%2B+2
highlight_green%28y+=+%285%2F4%29x%2B12%29
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