Question

Write the equation of the linear function that models the relationship shown in the table.

Use the table to answer the question.
X
4
6
Y
38
58

Answer 1

To find the equation of the linear function, we need to first find the slope (m) using the formula:

m = (change in y) / (change in x)

m = (58-38) / (6-4)
m = 20 / 2
m = 10

Next, we choose one of the points to plug into the point-slope form of the equation of a line: y - y1 = m(x - x1)

Using the point (4, 38) and the slope we calculated:

y - 38 = 10(x - 4)

Now, simplify the equation:

y - 38 = 10x - 40
y = 10x - 2

Therefore, the equation of the linear function that models the relationship shown in the table is y = 10x - 2.