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.
To find the equation of the linear function, we need to calculate the slope (m) and the y-intercept (b) using the values from the table.
First, let's calculate the slope using the formula:
m = (y2 - y1) / (x2 - x1)
Using the values from the table:
m = (43 - 16) / (15 - 6)
m = 27 / 9
m = 3
Now that we have the slope (m), we can use one of the points from the table to calculate the y-intercept (b). Let's use the point (6, 16).
Using the formula y = mx + b:
16 = 3(6) + b
16 = 18 + b
b = 16 - 18
b = -2
Therefore, the linear function that models the relationship shown in the table is:
y = 3x - 2