Write the equation of the linear function that models the relationship shown in the table.
X: Y:
4 38
6 58
First, we need to find the slope of the line using the two points given in the table.
Slope (m) = (change in y) / (change in x)
= (58 - 38) / (6 - 4)
= 20 / 2
= 10
Next, we need to find the y-intercept using one of the points and the slope.
Using the point (4, 38):
y = mx + b
38 = 10(4) + b
38 = 40 + b
b = -2
Therefore, the equation of the linear function is:
y = 10x - 2