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30. Write an equation in point-slope form for the line through the given point with the given slope. (-7,9); m=4/5

A. y+7= 4/5(x-9)
B. y-7=4/5(x+9)
C. y-9=4/5(x+7
D. y+9=4/5(x-7)

Respuesta :

Answer:

C. [tex]y - 9 = \frac{4}{5}(x + 7)[/tex]

Step-by-step explanation:

The equation of a straight line through a point [tex](x_{1}, y_{1})[/tex] with slope m is given by

                  [tex]y - y_{1} = m(x - x_{1})\\y - 9 = \frac{4}{5}(x - (-7))\\y - 9 = \frac{4}{5} (x + 7)[/tex]

Therefore the answer is C. [tex]y - 9 = \frac{4}{5}(x + 7)[/tex]

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