SOLUTION: Write aslope-intercept equation for a line passing through the point left parenthesis 4 comma negative 2 right parenthesis(4,-2) that is parallel to the line 4 x plus 5 y equals 94

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Question 1086174: Write aslope-intercept equation for a line passing through the point left parenthesis 4 comma negative 2 right parenthesis(4,-2) that is parallel to the line 4 x plus 5 y equals 94x+5y=9. Then write a second equation for a line passing through the point left parenthesis 4 comma negative 2 right parenthesis(4,-2) that is perpendicular to the line 4 x plus 5 y equals 94x+5y=9.
Answer by josgarithmetic(39620) About Me  (Show Source):
You can put this solution on YOUR website!
Given line 4x+5y=9
Given point (4,-2)
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Parallel to given line, contains given point
4x%2B5y=4%2A%284%29%2B5%2A%28-2%29
4x%2B5y=16-10
5y=-4x%2B6
y=-%284%2F5%29x%2B6%2F5-------slope-intercept form

Perpendicular to given line, containing given point of (4,-2)
y-%28-2%29=%285%2F4%29%28x-4%29----starting from point-slope form
y%2B2=%285%2F4%29x-5
y=%285%2F4%29x-5-2
y=%285%2F4%29x-7-------slope-intercept form