what is the point slope form of the line with slope -1/4 that passes through the point (-2, 9) ?

•y - 9 = -1/4 (x + 2)

•y + 2 = -1/4 (x - 9)

•y + 9 = -1/4 (x - 2)

•y - 2 = -1/4 (x + 9)

Respuesta :

gmany

The point-slope form of a line:

[tex]y-y_0=m(x-x_0)[/tex]

We have

[tex]m=-\dfrac{1}{4}\\\\(-2,\ 9)\to x_0=-2,\ y_0=9[/tex]

Substitute

[tex]y-9=-\dfrac{1}{4}(x-(-2))\\\\y-9=-\dfrac{1}{4}(x+2)[/tex]

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