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)

Question

10-04-2015
Mathematics

Answered

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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)

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iGreen iGreen · Answer 1 · 2015-04-10T13:00:54-04:00

iGreen iGreen

10-04-2015

[tex]\sf~y-y_1=m(x-x_1)[/tex]

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:

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

or

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

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