Which of the following is a correct equation for the line passing through the point -3, 2 and having slope m= 2/3? a. y-2=2/3(x+3) b. y=2/3x c. 2x-3y=-12 d. y=2/3x+4

The correct answer is A) y - 2 = 2/3(x + 3)

Step-by-step explanation:

In order to find this, we start with the base form of point-slope form.

y - y1 = m(x - x1)

Then we input the slope as m and the point in at x1 and y1.

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

step-by-step explanation:

points a and b are equidistant from the desired line, so the line you find by using them will go through point r.

using points other than a and b will give the desired line only if they are equidistant from r. if they are randomly located, the perpendicular line you create will not necessarily go through point r, hence will not be a solution to the problem.