SOLUTION: Determine the equation of the line described. Put answer in the slope-intercept form, if possible. Through (1,-8), perpendicular to -7x-4y=25. Thank you

Question 242795: Determine the equation of the line described. Put answer in the slope-intercept form, if possible. Through (1,-8), perpendicular to -7x-4y=25. Thank you
Found 2 solutions by checkley77, stanbon:
Answer by checkley77(12844) (Show Source): You can put this solution on YOUR website!
Through (1,-8), perpendicular to
-7x-4y=25
-4y=7x+25
y=-7x/4+25/-4
y=-7x/4-25/4 slope=-7/4.
A perpendicular line will have a slope = to the negative inverse or 4/7
-8=4/7*1+b
-8=4/7+b
b=-8-4/7
b=-56/7-4/7
b=-60/7 the y intercept.
y=4x/7-60/7
(graph 300x200 pixels, x from -6 to 25, y from -15 to 10, 4x/7 -60/7).
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
Determine the equation of the line described. Put answer in the slope-intercept form, if possible. Through (1,-8), perpendicular to -7x-4y=25.
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The given line has slope = -7/4
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A perpendicular line must have slope = 4/7
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Form: y = mx + b
m = 4/7 and y = -8 when x = 1
Solve for "b":
-8 = (4/7)*1 + b
b = -60/7
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y = (4/7)x-(60/7)
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Cheers,
Stan H.
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