Question

Write the equation other than your function that models the relationship shown in the table.

Y: 16, 43
X: 6,15
Answer in y =mx + b form

Answer 1

[AI-generated answer — Bot GPT 3.5]

To find the equation of the line that models the relationship shown in the table, we first need to find the slope (m) of the line:

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

Now that we have the slope, we can pick one of the points (x1, y1) in the table to substitute into the equation y = mx + b to solve for the y-intercept (b):

Using the point (6, 16):
16 = 3(6) + b
16 = 18 + b
b = -2

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