Write in slope intercept form an equation of the line that passes through the points (-4,2) and (6,-3)

Given points ( - 4 , 2) and (6 -3)

Step-by-step explanation:

The equation of the line is given by

First calculating

slope ( m) = y2 -y1

x2 - x1

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

= -5/ 10

= -1/2

Now the equation

y - y1 = m ( x - x1)

y -2 = -1/2 (x + 4)

2 (y-2) = -1(x + 4)

2y + 4 = -x - 4

x + 4 +2y +4 = 0

x + 2y + 8= 0

which is the required equation