Question

Choose the point-slope form of the equation below that represents the line that passes through the point (−1, 6) and has a slope of −3. (2 points)

y − 6 = −3x − 3

y − 6 = −3(x + 1)

y = −3x + 3

3x + y = 3

Answer 1

The point-slope form:

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

We have the point (-1, 6) and the slope m = -3. substitute:

`y-6=-3(x-(-1))\\\\\boxed{y-6=-3(x+1)}`