Find the slope intercept form of the liner function using the points (-6,6) and (-2,4) show all work

The slope-intercept form of the equation of a line is

y = mx + b,

where m is the slope, and b is the y-intercept.

We can find the slope using two points, (x1, y1) and (x2, y2) using the formula

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

We start by finding the slope.

m = (4 - 6)/(-2 - (-6)) = -2/(-2 + 6) = -2/4 = -1/2

Now we write the slope in our equation.

y = -1/2x + b

We need to find b. We use either point as x and y and solve for b. Let's use point (-2, 4).

4 = -1/2(-2) + b

4 = 1 + b

b = 3

Now we write the value we found for b in the equation of the line.

y = -1/2x + 3

y = -1/2x + 3