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.
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)
1 answer
1 answer