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.
Write the equation of the linear function that models the relationship shown in the table.
x : y
4 : 38
6 : 58
1 answer