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