ChayR
Answered

Which is an equation in point-slope form for the given point and slope?


Point: (1, –7); Slope:



A.

y-7=-2/3(x+1)


B.

y-7=2/3(x-1)


C.

y+7=-2/3(x-1)


D.

y+7=2/3(x+1)

Verified Answer :

iGreen

\(\sf~y-y_1=m(x-x_1)\)

Where y1 is the y-value of the point, x1 is the x-value, and 'm' is the slope.

In this case:

y1 = -7
x1 = 1
m = -2/3

Plug them in:

\(\sf~y-(-7)=-\dfrac{2}{3}(x-1)\)

or

\(\boxed{\sf~y+7=-\dfrac{2}{3}(x-1)}\)

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