Write an equation in slope-intercept form of the line shown.
(2,-1) (4,-4)

y = -3/2x+2

Step-by-step explanation:

The slope for a slope equation is y = mx+b

Since it's decreasing from left to right the first part of the equation (mx) is -#x. The second part of the equation (+b) will be +2 because the y-intercept is (0,2). If it were a negative # then it would be -7, or -4, or - whatever.

Now you have to find the slope. To find the slope simply do y1-y2/x1-x2 or y2-y1/x2-x1. Let's follow this equation. say that (2,-1) is 1 and (4,-4) is 2.

-1+4/2-4 = 3/-2 = -3/2. The equation would be y = -3/2x +2. Let's check our work by substituting  our variables with numbers using the set (2,-1). Pleases tell me if I'm wrong or if this is confusing.