I’m not entirely sure what can of equation you are asking to be answered but if it is a y-intercept formula then the answer would be:
The way I found this answer is by first finding the slope of the two points. I can do this by using the Slope formula which is = (y2 - y1) / (x2 - x1), this can also be phrased as Point 2, in this case (3,0) minus Point 1 (0, 5)
After plugging in the numbers (0,5) and (3,0) into the formula I get:
0-5/3-0 = -5/3
After identifying the slope I begin to then plug in the slope and one of the two Points (either 0,5 or 3,0) on the graph into a different equation, the slope-intercept formula y = mx + b (by the way, m stands for the slope in this equation so m is equal to the slope or m = slope)
After I plug in the numbers I get:
y = mx + b
5 = -5/3(0) + b
5 = b
The answer to this problem should be:
y = -5/3(x) + 5