Find the equation of the linear function represented by the table below in slope-intercept form.yx01234-9091827

To find the equation of the linear function represented by the table, we can use the slope-intercept form, which is given by y = mx + b, where m is the slope and b is the y-intercept.

Looking at the table, we can see that the x-values are 0, 1, 2, 3, and 4, and the corresponding y-values are -9, 0, 9, 18, and 27.

To find the slope, we can use the formula m = (y2 - y1) / (x2 - x1), where (x1, y1) and (x2, y2) are any two points on the line.

Let's choose the points (0, -9) and (1, 0) from the table. Plugging these values into the slope formula, we get:

m = (0 - (-9)) / (1 - 0) = 9 / 1 = 9

So the slope of the linear function is 9.

Next, we need to find the y-intercept, which is the value of y when x = 0. From the table, we can see that when x = 0, y = -9.

Therefore, the y-intercept is -9.

Now we can write the equation of the linear function in slope-intercept form:

y = mx + b

Substituting the values we found, we get:

y = 9x - 9

So the equation of the linear function represented by the table is y = 9x - 9 in slope-intercept form.