3. 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.

Question

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.

Please help

Answer 1

slope AB = (3-0)/(2-0) = 3/2
slope CD = (12-6)/(8-4) = 6/4 = 3/2

point (0,0) tells me the y-intercept is 0

equation : y = (3/2)x = 0
or
y = (3/2)x

poorly constructed question. Just because C and D also have a slope of 3/2, does not mean that all 4 points lie on the same line
e.g. suppose they had been C(4,5) and D(6,8)
the slope would also be 3/2 , but neither point lies on y = (3/2)x

Answer 2

wait a minute these teacher thingys can actually sound smart??????????