Answer:
y= -1/3x+2
Explanation:
A slope intercept equation follows the format of y=mx+b. The m means slope and the b means y-intercept.
To find slope use the two points given(0,2) and (3,1). Start at the point highest on the line(0,2), and subtract the y values, for this graph 2-1. Then do the same with the x values, for this graph 3-0. Now you have your y and x values. Slope = y/x, so substitute the variables and you get 1/3. From left to right, the line is slanting downward, so it's a negative slope, which makes your slope -1/3.
To find the y-intercept, find where the line crosses the y axis and use the y value from that point. The line on this graph crosses at the point (0,2), so 2 is the y-intercept.
Lastly, put your new values into the slope intercept equation. Substitute m for your new slope and b for the y-intercept. That gives you your answer y=-1/3x+2.