Consider the points a(0, 0), b(2, 3), c(4, 6), and d(8, 12). a student plotted the points and drew a
line through the points. then, he created a triangle using points a and b and another triangle using points
c 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

a. 3/2

b. 6/4 idk if you need to simplify, but if so it would be 3/2

c. y = 3/2x

Step-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-x1

3/2-0/0= 3/2

so the rate of change = 3/2

b: again, using the same formula, y2-y2/x2-x1, but using points C and D

12/8-6/4=6/4 simplified to 3/2

c: since the line goes through the origin, (0,0), then there isn't a y-intercept

making the equation: y = 3/2x

step-by-step explanation: