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Question 241459: How do you find an equation in slop-intercept form of the line satisfying the specified conditions? through (-6,-9), perpendicular to -7x-5y=-3
Answer by stanbon(75887)   (Show Source):
You can put this solution on YOUR website! How do you find an equation in slop-intercept form of the line satisfying the specified conditions? through (-6,-9), perpendicular to -7x-5y=-3
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Find the slope of the given line:
y = (-7/5)x+(3/5)
That slope is -7/5
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A perpendicular line must have slope = 5/7
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Form of the equation you want:
y = mx +b
You know m = 5/7 and you know y = -9 when x = -6:
-9 = (5/7)(-6) + b
-63/7 = -30/7 + b
b = -33/7
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Equation:
y = (5/7)x - (33/7)
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Cheers,
Stan H.
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