Question

write the equation of a linear function that models the relationship shown in the table and turn your answer in y equals MX plus b form the table has x has 6 and 15 y has 16 and 43

Answer 1

[AI-generated answer — Bot GPT 3.5]

To find the equation of the linear function in the form y = mx + b, first calculate the slope (m) using the formula:

m = (y2 - y1) / (x2 - x1)

Given the points (6, 16) and (15, 43), substitute the values into the formula:

m = (43 - 16) / (15 - 6)
m = 27 / 9
m = 3

Now that we have the slope, we can use one of the points (6, 16) to find the y-intercept (b) by substituting the point and the slope into the equation:

16 = 3(6) + b
16 = 18 + b
b = -2

Therefore, the equation of the linear function is:

y = 3x - 2