Question

Put the following linear relationships in order from least rate of change to greatest rate of change.

1: y=2x+7
2: y=5x-3
3: y=3x
4: y=4x+6

Answer 1

1. 3. 4. 2.

Explanation:

All the given linear relationships are given in slope-intercept form
y = mx + b (where m is the slope and b is the y-intercept).

The slope (gradient) of the line represents the rate of change. Therefore, we need to examine the slope of each relationship, and order them accordingly.

Solution

From least rate of change to greatest rate of change:

1. y = 2x + 7

3. y = 3x

4. y = 4x + 6

2. y = 5x - 3