Question

Write an equation of a line in point- slope form for the line that passes through A(-2, -2) and B(4,1)

Answer 1

Step 1: Find the slope using $m=\dfrac{y_2-y_1}{x_2-x_1}$:

    $m= \dfrac{1-(-2)}{4-(-2)} = \dfrac{3}{6} = \dfrac{1}{2}$

Step 2: Plug the slope and one-point into point-slope form $y-y_1 = m(x-x_1)$:

Let's use (4,1) since there's no negative involved.  That makes it easier:

    $y-1 = \frac{1}{2}(x-4)$