Aline intersects the points (-4,6) and (-2,5). what is the slope intercept equation for this line

First find the slope of the line connecting these two points:

6-5

m = = -1/2

-4+2

Substitute this slope into y = mx + b: y = (-1/2)x + b.

Next, subst. 5 for y and -2 for x, and find b:

5 = (-1/2)(-2) + b, or 5-1=b. Then b = 4, and

the equation of the line is y = (-1/2)x + 4.