Question

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

Answer 1

a. 3/2

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

c. y = 3/2x

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