Question

Find the equation of the linear function represented by the table below in slope-intercept form.

x y
1 0
2 2
3 4
4 6

Answer 1

y = 2x -2

Explanation:

y = mx + b

We need the slope (m) and the y-intercept (b) to write the eqation.

The slope is the change in y over the change in x. We can see from the table that the y is changing by 2 as the x changes by 1

So the slope is 2/1 which is the same as 2

The slope (m) is 2.

The y-intercept is the place where the line crosses the y axis. It is at the point (0,b). When x is zero, what is y? If we follow the patter and move to the number before x is 1, we get x = 0. That means that we have to move back 2 units of the y's. That would be -2. So the y-intercept is the point (0,-2).

The y-intercept (b) is -2

y = 2x - 2