Question

A line passes through the points (9,-2) and has a slope of 2/3.

Write an equation in point-slope form for this line.

Answer 1

Point slope form is written as:

y - y_1 = m * (x - x_1), where y_1 and x_1 are the y and x coordinates of the given point, and m is the slope.

In this case, the slope is 2/3 and the given point is (9, -2). Plug these values into the equation:

y - (-2) = 2/3 * (x - 9)

y + 2 = 2/3 * (x - 9)

And, there's your answer!