The equation of line f is y=10/7x −3 .Line g, which is perpendicular to line f, includes the point (5, -6).What is the equation of line g?

Question

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Answer 1

The line with equation y = (10/7)x - 3 has slope 10/7

 

Any line perpendicular to the given line has slope -7/10

 

Equation of line g:  y - (-6) = (-7/10)(x - 5)

 

                            y + 6 = (-7/10)(x - 5)

 

                            y + 6 = (-7/10)x + 7/2

 

                                 y = (-7/10)x - 5/2

 

or:  7x + 10y = -25