Look at this table:x y–2 –7–1 –10 51 112 17Write a linear function (y=mx+b) or an exponential function (y=a(b)x) that models the data.y=Submit

To find a linear function that models the data, we first need to determine the slope (m) and the y-intercept (b) in the equation y = mx + b.

1. Calculate the slope (m): The slope is the change in y divided by the change in x. Choose two points from the table, for example, (-2, -7) and (-1, -10). The slope m = (y2 - y1) / (x2 - x1) = (-10 - (-7)) / (-1 - (-2)) = -3.

2. Calculate the y-intercept (b): The y-intercept is the value of y when x = 0. We can use the point-slope form of a line, y - y1 = m(x - x1), and solve for b. Using the point (-2, -7) and the slope -3, we get -7 - (-3*-2) = -7 - 6 = -13.

So, the linear function that models the data is y = -3x - 13.