Question

Write the equation of the line that passes through the points (3, -2)

and (5, -9). Put your answer in fully reduced point-slope form,
unless it is a vertical or horizontal line.

Answer 1

start with determining the slope ((-9 - (-2))/(5 - 3) = -7/2. Now use the point slope formula y - y1 = m(x - x1). y - (-2) = -7/2(x - 3). Distribute the -7/2, y + 2= -7/2x + 21/2. Combine like terms y = -7/2x + 17/2. You can also write this as y = -3.5x + 8.5