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Construct Linear Functions

Write each linear function as y = mx + b: the rate of change is the slope (how much y changes per step), the initial value is y when x = 0.

Example

This table shows a linear function.

x	0	1	2	3
y	1	3	5	7

Write it as y = mx + b, and give the rate of change and the initial value.

y = 2x + 1 rate of change 2 initial value 1

1.
This table shows a linear function.
x 0 1 2 3
y 6 8 10 12
Write it as y = mx + b, and give the rate of change and the initial value.
y = rate of change initial value
2.
This table shows a linear function.
x 0 1 2 3
y −1 −6 −11 −16
Write it as y = mx + b, and give the rate of change and the initial value.
y = rate of change initial value
3.
This table shows a linear function.
x 0 1 2 3
y 1 5 9 13
Write it as y = mx + b, and give the rate of change and the initial value.
y = rate of change initial value
4.
This table shows a linear function.
x 0 1 2 3
y −4 1 6 11
Write it as y = mx + b, and give the rate of change and the initial value.
y = rate of change initial value
5.
This table shows a linear function.
x 0 1 2 3
y −4 −9 −14 −19
Write it as y = mx + b, and give the rate of change and the initial value.
y = rate of change initial value