Question

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

Answer 1

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

Explanation:

Data

A (-4 , 3)

B (6, -2)

Formula

`m = (y2 - y1)/(x2 - x1) \\`

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

Process

`m = (-2 - 3)/(6 + 4)`

`m= (-5)/(10)`

`m = -(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