Question

A. Y=x^2+3 B. Y=2/3x+6 C. Y=|x|+4 D .Y=2x-5 1. Identify the linear equations from the list. 2. State the constant rate of change for each linear equation. 3. Briefly describe the relationship between constant rate of change and linear equations.

Answer 1

Explanation:

1. An equation is said to be linear if the variables have power not greater than 1.

Thus, the linear equations from the list are:

B. Y =
`(2)/(3)`x + 6

C. Y = |x| + 4

D .Y = 2x - 5

2. Comparing the equations with y = mx ± c, the constant rate of change for each linear equation are:

B.
`(2)/(3)`

C. 1

D. 2

3. The constant rate of change is the gradient (slope) of a linear equation. It describes the steepness of a line from the plot of points obtained from the linear equation.