SOLUTION: Write the slope-intercept equation of the function f whose graph satisfies the given conditions.
The graph of f passes through (-4,9) and is perpendicular to the line that has a
Question 1078257: Write the slope-intercept equation of the function f whose graph satisfies the given conditions.
The graph of f passes through (-4,9) and is perpendicular to the line that has an x-intercept of 7 and a y-intercept of -14 Found 2 solutions by stanbon, Boreal:Answer by stanbon(75887) (Show Source):
You can put this solution on YOUR website! Write the slope-intercept equation of the function f whose graph satisfies the given conditions.
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The graph of f passes through (-4,9) and is perpendicular to the line that has an x-intercept of 7 and a y-intercept of -14
That line has equation y/(-14)+(x/7) = 1
y + -14(x/7) = -14
y = 2x - 14
That line has slope m = 2
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Your line::
Form y = mx + b
Passes thru -4,9 and has slope -1/2
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Solve for "b"::
9 = (-1/2)(-4) + b
b = 7
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Cheers,
Stan H.
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Answer :: y = (-1/2)x + 7
You can put this solution on YOUR website! The line has a slope of 2 and its equation is y=2x-14. This can be learned from both intercepts given.
The line perpendicular to it has slope -1/2, negative reciprocal.
Point slope formula y-y1=m(x-x1), m is slope (x1,y1) point
y-9=-(1/2)(x+4)
y=-(1/2)x+7
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