Equation of a straight line part two
We can examine the second defining property of by looking at the same table below.
-1 | 0 | 1 | 2 | 3 | 4 | |
-1 | 1 | 3 | 5 | 7 | 9 |
As the value of increases by 1, the value of
increases by 2. When
is 0,
is 1. When
increases to 1,
is 3 and when
increases to 2,
is 5. We can see that
increases by 2 when
increases by 1. This is called the step-size. The step-size of the equation of the straight line
is 2.
Let’s find the step-size of other equations of a straight line.
0 | 1 | 2 | 3 | |
2 | 7 | 12 | 17 |
As increases from 0 to 1 to 2,
increases from 2 by 5 to 7 and then to 12. The step-size of
is 5.
Let’s look at one more.
0 | 1 | 2 | 3 | |
2 | -5 | -12 | -19 |
As increases from 0 to 1 to 2,
decreases from 2 to -5 to -12. The step-size of
is -7.
The step-size is the number that comes in front of the in an equation of a straight line.
Let’s look at a table of the step-size for some equations of a straight line.
Equation | Value of the step-size |
5 | |
5 | |
-7 | |
-7 | |
10 |