Use the table to answer the question. x y 6 16 15 43 Write the equation of the linear function that models the relationship shown in the table. Enter your answer in y=mx+b form.

Answer 1

To find the equation of the linear function, we first need to calculate the slope (m) using the given points (6,16) and (15,43):

m = (y2 - y1) / (x2 - x1)
m = (43 - 16) / (15 - 6)
m = 27 / 9
m = 3

Now that we have the slope, we can use the point-slope form of a linear equation to find the y-intercept (b):

y - y1 = m(x - x1)
y - 16 = 3(x - 6)
y - 16 = 3x - 18
y = 3x - 2

Therefore, the equation of the linear function that models the relationship shown in the table is y = 3x - 2.