Write the equation of the line that goes through the points (-3,5) and (6,-1).

Answer

y = -2/3x + 17/3

Determine the slope of the line. A: slope m = (y2 - y1) / (x2 - x1) = (-1 - 5) / (6 - (-3)) = -6/9 = -2/3.
Use the point slope form of a line to find the equation of the line. A: y - y1 = m(x - x1) = -2/3(x - (-3)) + 5 = -2/3x + 17/3.