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.
To find the equation of the linear function, we first need to find the slope (m) of the line:
m = (y2 - y1) / (x2 - x1)
m = (58 - 38) / (6 - 4)
m = 20 / 2
m = 10
Next, we select one point from the table and substitute its coordinates along with the calculated slope into the point-slope form of the equation of a line:
y - y1 = m(x - x1)
y - 38 = 10(x - 4)
Now, we can simplify and rewrite the equation in slope-intercept form (y = mx + b):
y - 38 = 10x - 40
y = 10x - 2
Therefore, the equation of the linear function modeling the relationship in the table is y = 10x - 2.