SOLUTION: Write an equation in point-slope form of the line through the point (2, 3) perpendicular to the line with equation y=7/5x+4

Question 1128116: Write an equation in point-slope form of the line through the point (2, 3) perpendicular to the line with equation y=7/5x+4
Found 3 solutions by Boreal, josmiceli, josgarithmetic:
Answer by Boreal(15235)   (Show Source): You can put this solution on YOUR website!
the slope of the line is 7/5, so the slope of the line perpendicular to it is -5/7, the negative reciprocal.
point slope formula y-y1=m(x-x1), m slope, (x1, y1) point
y-3=(-5/7)(x-2)
y-3=-(5/7)x+10/7
y=(-5/7)x+31/7

Answer by josmiceli(19441)   (Show Source): You can put this solution on YOUR website!
Any line perpendicular to the given line has
slope =
Use the general point-slope formula

Multiply both sides by

check:

( 2,3 )

OK
Answer by josgarithmetic(39618)   (Show Source): You can put this solution on YOUR website!
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Write an equation in point-slope form of the line through the point (2, 3) perpendicular to the line with equation y=7/5x+4
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recognizing needed slope and plugging-in the values:

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