SOLUTION: what type of equation do i use to give the slope-intercept of an equation of the line that is perpendicular to 8x+5y=4 and contains (-9,1)?

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Question 72389This question is from textbook algebra 1
: what type of equation do i use to give the slope-intercept of an equation of the line that is perpendicular to 8x+5y=4 and contains (-9,1)? This question is from textbook algebra 1

Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
what type of equation do i use to give the slope-intercept of an equation of the line that is perpendicular to 8x+5y=4 and contains (-9,1)?
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Put the given equation in slope-intercept form:
y = -(8/5)x + (4/5)
The slope of this line is -8/5
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The perpendicular line must have a slope of +5/8
The equation you want will have the form y=mx+b where
m=5/8 and y=1 when x=-9.
1 = (5/8)(-9)+b
b= 45/8 + 8/8
b=53/8
EQUATIOn:
y=(5/8)x + 51/8
Cheers,
Stan H.