We are given a table of x and y values.
We are asked to find the equation of the linear function in the slope-intercept form.
The equation of the linear function in slope-intercept form is given by
Where m is the slope and b is the y-intercept.
So our goal is to find these two values (slope and y-intercept)
The slope (m) is given by
Now we need to choose any two points from the given table.
Let's choose the first two points.
Let us substitute these values into the slope formula
So the slope of the linear function is 4 and the equation becomes
Now we need to find the y-intercept (b)
Choose any one point from the table
Let choose (0, -3) and substitute it into the above equation
Please note that even if you had chosen any other point then still you would have gotten the same y-intercept.
Therefore, the equation of the linear function in slope-intercept form is