SOLUTION: what is an equation for the line perpendicular to the equation x+2y=8 going through the point (4,0)

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Question 169645: what is an equation for the line perpendicular to the equation x+2y=8 going through the point (4,0)
Found 2 solutions by Alan3354, jojo14344:
Answer by Alan3354(69443) About Me  (Show Source):
You can put this solution on YOUR website!
what is an equation for the line perpendicular to the equation x+2y=8 going through the point (4,0)
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Find the slope, m, of the line by putting it in the slope-intercept form, y = mx+b.
x+2y=8
2y = -x+8
y = (-1/2)x + 4 so the slope is -1/2
Then, y-y1 = m*(x-x1) where (x1,y1) is the point (4,0)
y-0 = (-1/2)*(x-4)
y = (-1/2)x + 2 slope-int form
x + 2y = 4 standard form

Answer by jojo14344(1513) About Me  (Show Source):
You can put this solution on YOUR website!
what is an equation for the line perpendicular to the equation x+2y=8 going through the point (4,0)
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We'll see 1st line x%2B2y=8: slope=m%5B1%5D=-1%2F2

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Now the line perpendicular has a slope=m%5B2%5D=-1%2Fm%5B1%5D
m%5B2%5D=-1%2F%28-1%2F2%29=2
Thru points (4,0) via Slope Intercept form:y=mx%2Bb
0=2%284%29%2Bb
b=-8, y-intercept
So the line eqn is: highlight%28y=2x-8%29, Answer (Green Line)
As we see below,

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Thank you,
Jojo