Use the table to answer the question.
x y
4 38
6 58
Write the equation of the linear function that models the relationship shown in the table.
(1 point)
To find the equation of the linear function, we first need to find the slope (m) of the line.
Using the points (4,38) and (6,58), we find the slope:
m = (y2 - y1) / (x2 - x1)
m = (58 - 38) / (6 - 4)
m = 20 / 2
m = 10
Now, we can use the point-slope form of the equation of a line to find the equation of the linear function:
y - y1 = m(x - x1)
Using the point (4,38):
y - 38 = 10(x - 4)
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.