Question

Write the equation of the line that passes through the points (-2, 3) and (1, -1). Use the point-slope equation of a line to write the equation and then leave final answer in slope-intercept form.

Answer 1

First, find the slope: $\frac{-1-3}{1--2} = \frac{-4}{3}$
Next, plug into the point slope formula using either of the two given points:
y-3 =-4/3(x +2)
Last, put the equation in slope intercept form by solving for y:
y-3 = -4/3x -8/3
y= -4/3x -8/3 + 3
y = -4/3x -8/3 + 9/3
y = -4/3x + 1/3