Find the equation in the form y=mx+b that models line (2,3) and (0,4)

y = (-1/2) x + 4

Step-by-step explanation:

Moving from (0, 4) to (2, 3), we see x increasing by 2 from 0 to 2 and y decreasing by 1 from 4 to 3.

Thus, the slope of this line is m = rise / run = - 1/2.

Starting with y = mx + b, we substitute 0 for x, 4 for y and - 1/2 for b, obtaining:

4 = (-1/2) (0) + b. Therefore, b = 4, and the desired equation is:

y = (-1/2) x + 4