SOLUTION: determine the equation of the line described. put answer in the slope-intercept form if possible.
through (-2,5), perpendicular to -4x + 5y = 17
Question 285990: determine the equation of the line described. put answer in the slope-intercept form if possible.
through (-2,5), perpendicular to -4x + 5y = 17 Answer by oberobic(2304) (Show Source):
You can put this solution on YOUR website! -4x + 5y = 17
5y = 4x + 17
y = (4/5)x + 17/5
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therefore, the slope of this line is 4/5.
which means the slope of a perpendicular line is -5/4.
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We want this line with slope = -5/4 to go through the point (-2,5).
y = mx+b
5 = (-5/4)(-2) + b
5 = 10/4 + b
5 - 10/4 = b
5 - 2.5 = b
b = 2.5
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y = -5/4x + 2.5
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You can check with a graph. The red line is y = (4/5)x + 17/5. The green line is
y = -5/4x + 2.5
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