Respuesta :

joseaaronlara

Answer:

The answer to your question is:     y = 3/5 x - 2

Step-by-step explanation:

Data

5x + 3y = 15

A (5, 1)

Process

find the slope

                          5x + 3y = 15

                          3y = - 5x + 15

                            y = -(5/3) x + (15/3)

                            y = -(5/3) x  + 5

Slope = m = -(5/3) but the lines are perpendicular then:

                                                                                             m = 3/5

New equation :   (y - y1) = m(x - x1)

                           (y - 1) = 3/5 ( x - 5)

                           y - 1 = 3/5 x - 15/5

                           y = 3/5 x - 3 + 1

                           y = 3/5 x - 2

                           

Answer:

Step-by-step explanation:

eq.of any line perpendicular to 5x+3y=15 is

3x-5y=c

because it passes through (5,1)

3*5-5*1=c

c=15-5=10

reqd. eq. is 3x-5y=10

5 y=3x-10

y=3/5 x-2

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