Question

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

Answer 1

Answer:

y = x+2

Step-by-step 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).

$m = \frac{y_2 -y_1}{x_2 - x_1} = \frac{4-3}{2-1} = 1$

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

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