Find the equation of the linear function represented by the table below in slope-intercept form.
In order to find the equation of a linear function in slope-intercept form, we need to determine the slope and the y-intercept.
From the given table, we can see that when x=0, y=4. So, the y-intercept is 4.
To find the slope, we can use the formula:
slope = change in y / change in x.
From the table, we can see that when x=4, y=12. This means that the change in y is 12-4=8. When x changes from 0 to 4, the change in x is 4-0=4.
slope = 8/4 = 2.
So, the equation of the linear function in slope-intercept form is:
y = mx + b,
where m is the slope and b is the y-intercept.
Therefore, the equation of the linear function is:
y = 2x + 4.