Question

How do you write an equation is in point-slope form for the given point (1,-7) slope -2/3?

Answer 1

The equation of this line in point-slope form is `y + 7 = (-2)/3(x - 1)`.

Explanation:

The point-slope form of a linear equation is `y - y_1 = m (x - x_1)` where `m` is the slope of the line and `(x_1, y_1)` is a point on the line. Since we have both the slope of the line and a point on the line, we only have to substitute the appropriate values in the point-slope equation.

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

Normally, we would be finished, but we must change the double negative to a positive to have this in proper form.

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