Question

Functions A,B and C are linear functions. Some values of function A are shown in the table. Function B has y-intercept of (3,0) and a x-intercept of (5,0). Function C is defined by the equation y=3x+1.
HERES THE TABLE
X. 3,5,6
Y. 3,7,9​.
Create equations for each of the 3 functions given above?
Order the linear functions based on rate of change from least to greatest?​

Answer 1

Answer:

In order of increasing slope:

B: y = 0

A: y = 2x-3

C: y = 3x+1

Step-by-step explanation:

(3,3), (5,7), and (6,9) are points on line A.

Use the coordinates of two of the points to find the slope of A.

Δy =7-9 = -2

Δx =5-6 = -1

Slope = Δy/Δx = 2

Equation for line of slope 2 that passes through (3,3):

y-3 = 2(x-3)

y = 2x-3

(3,0) and (5,0) are points on line B. They are horizontally aligned, so the equation for line B is y=0. Slope = 0.

You were given the equation for C: y = 3x+1. Slope = 3

In order of increasing slope:

B: y = 0

A: y = 2x-3

C: y = 3x+1