Question

Find the equation of the linear function represented by the table below in slope-intercept form.

x y
1 3
2 4
3 5
4 6

Answer 1

Explanation:

y = x+2

Answer 2

y = x+2

Explanation:

The equation of a linear function can be found using point slope form and the slope formula.

Substitute two points from the table into the formula.

(1,3) and (2,4).

`m = (y_2 -y_1)/(x_2 - x_1) = (4-3)/(2-1) = 1`

Substitute m = 1 and (1,3) into the point slope formula

`y - y_1 = m(x-x_1)\\y - 3 = 1(x - 1)\\y - 3 = x-1\\y = x + 2`