Question

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)

Answer 1

`\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)=-(2)/(3)(x-1)`

or


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