Find the equation of the linear function represented by the table below in slope-intercept form.
x y
-2 -1
1 5
4 11
7 17
To find the equation of a linear function in slope-intercept form (y = mx + b), we need to determine the values of m and b.
First, let's find the slope (m) by using the formula: m = (change in y) / (change in x).
For the points (-2, -1) and (1, 5), the change in y is 5 - (-1) = 6, and the change in x is 1 - (-2) = 3.
So, the slope (m) = 6/3 = 2.
Now that we have the slope, we can use one of the points to find the y-intercept (b).
Let's use the point (1, 5).
Using the slope-intercept form (y = mx + b), we can substitute the values of m, x, and y from the point (1, 5) to solve for b.
5 = 2(1) + b
5 = 2 + b
b = 5 - 2
b = 3
Now we have the slope (m = 2) and the y-intercept (b = 3).
Therefore, the equation of the linear function represented by the table is: y = 2x + 3.