Question

without graphing what is the equation for THE LINE THAT PASSES THROUGH THE POINTS (-4, 3) AND (6 -2)

Answer 1

Answer:

The answer to your question is:      y = -1/2 x + 1

Step-by-step explanation:

Data

A (-4 , 3)

B (6, -2)

Formula

$m = \frac{y2 - y1}{x2 - x1}$

(y - y1) = m(x - x1)

Process

              $m = \frac{-2 - 3}{6 + 4}$

              $m= \frac{-5}{10}$

              $m = -\frac{1}{2}$

         

             (y - 3) = -1/2 (x + 4)

             2(y - 3) = -1(x + 4)

             2y - 6 = -x - 4

             2y = - x - 4 + 6

             2y = - x +2

             y = -1/2 x + 1