Question 85674: write an equation for a line through the point (6,1) that is perpendicular to the line -3y+4x=12 Answer by scianci(186) (Show Source):
You can put this solution on YOUR website! Since the lines are perpendicular, the slopes are opposite reciprocals of each other. So, you want to switch the x and y coefficients and also change the sign:
3x + 4y = C
Plug in the x and y coordinates of the desired point:
3(6) + 4(1) = C
18 + 4 = C
22 = C
Equation is 3x + 4y = 22
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