Slope intercept form of the linear function (0,7) (2,2)

The slope-intercept form of the function is y=mx+b, for m, which is equal to the slope, and b is equal to the y-intercept.

The slope is equal to the difference of the y values of two points divided by the difference of the x value. With these two points, the y decreases by -5 and the x increases by 2, so the slope is -5/2. 

Therefore, our line is in the form y=(-5/2)x+b.  We now substitute the first given point into this equation to solve for b.

-5/2*0+b=7

b=7

Therefore, b=7, so our equation is y=(-5/2)x+7.