Question

Write the equation of the linear function that models the relationship shown in the table.

x : y
4 : 38
6 : 58

Answer 1

To find the equation of the linear function, first find the slope using the two points (4, 38) and (6, 58).

slope = (58 - 38) / (6 - 4) = 20 / 2 = 10

Now use the point-slope form of the equation of a line to find the equation with slope 10 and point (4, 38).

y - y1 = m(x - x1)
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.