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 determine the slope of the line.
The slope (m) can be calculated using the formula:
m = (y2 - y1) / (x2 - x1)
Selecting two points from the table:
(4, 38) and (6, 58)
m = (58 - 38) / (6 - 4)
m = 20 / 2
m = 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)
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.