Question

Y = 1.5x

a. What is the rate of change?
b. State whether the y-values are increasing, decreasing, or neither as x increases.
c. Give the y-intercept.
d. List the coordinates of two points that lie on the graph of the equation.

Answer 1

a. 1.5

b. y increases as x increases

c. (0 , 0)

d. (1 , 1.5) and (2 , 3)

Explanation:

The rate of change of this equation would be 1.5, since that is the slope. Slope = rate of change.

It says on the equation that y is 1.5 times as large as x, so that means that if x increases, so does y.

the y intercept is (0,0), since there is only a slope, it is a constant line across the origin, which makes the y intercept (0,0). Y intercept is the value in which x is 0.

Say we wanted to have 1 as our x value. As stated in the equation, y is equal to 1.5 times x (which x is now 1). So that means y is 1.5. Same for 2, as if you multiply 1.5 by 2, it would be 3.

Answer 2

Find a real number between each pair of number