Question

Given m = 2 and the point (-1, 7), which of the following is the point-slope form of the equation?

a.y + 7 = 2(x - 1)


b.y - 7 = 2(x + 1)


c.y + 7 = 2(x + 1)


d.y - 7 = 2(x - 1)

Answer 1

The point-slope form:

`y-y_1=m(x-x_1)`

We have the point (-1, 7) and the slope m = 2. Substitute:

`y-7=2(x-(-1))\\\\\boxed{y-7=2(x+1)}\to\boxed{b.}`