x / y
4 / 38
6 / 58
write the equation of the linear function that models the relationship shown in the table.
To find the linear function that models the relationship between x and y, we can first find the slope using the two points given:
(4, 38) and (6, 58)
Slope = (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 - 2
Therefore, the equation of the linear function that models the relationship shown in the table is y = 10x - 2.