Consider the points A(0, 0), B(2, 3), C(4, 6), and D(8, 12). A student plotted the points and drew aline through the points. Then, he created a triangle using points A and B and another triangle using pointsC and D.a. What is the rate of change between points A and B?b. What is the rate of change between points C and D?c. Write the equation of the line that passes through the points

Answer:a. 3/2b. 6/4 idk if you need to simplify, but if so it would be 3/2c. y = 3/2xStep-by-step explanation:a: to find the rate of change of points A and B, you just use a formula (i forgot what it's called but it looks like this) y2-y2/x2-x13/2-0/0= 3/2so the rate of change = 3/2b: again, using the same formula, y2-y2/x2-x1, but using points C and D12/8-6/4=6/4 simplified to 3/2c: since the line goes through the origin, (0,0), then there isn't a y-interceptmaking the equation: y = 3/2x