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lorasvet [3.4K]
2 years ago
13

The line perpendicular to y=3/4x+7 containing (3,-4)

Mathematics
1 answer:
Ainat [17]2 years ago
8 0

Answer:

<em>y = - </em>\frac{4}{3}<em> x </em>

Step-by-step explanation:

1). y_{1} = m_{1} x_{1} + b_{1}  

y_{2} = m_{2} x_{2} + b_{2}

y_{1} ⊥ y_{2}  if  m_{2} = - \frac{1}{m_{1} }

2). ( x_{3} , y_{3} )

y - y_{3} = m( x - x_{3} )

~~~~~~~~~~~~~~~~~~

y = \frac{3}{4} x + 7

m_{1} = \frac{3}{4}

m_{2} = - \frac{4}{3}

( 3, - 4 )

y - ( - 4) = - \frac{4}{3} ( x - 3 )

y + 4 = - \frac{4}{3} x + 4

<em>y = - </em>\frac{4}{3}<em> x </em>

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