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.
First, we need to find the slope of the line using the two points given in the table.
Slope (m) = (y2 - y1) / (x2 - x1)
= (58 - 38) / (6 - 4)
= 20 / 2
= 10
Now that we have the slope, we can use the point-slope form of a linear equation to find the equation of the linear function.
y - y1 = m(x - x1)
y - 38 = 10(x - 4)
y - 38 = 10x - 40
y = 10x - 40 + 38
y = 10x - 2
Therefore, the equation of the linear function that models the relationship shown in the table is y = 10x - 2.