Question

What is the equation of the graphed linear model? y = x + Graph:

Answer 1

One point on the line is (1,3) and another point is (9,11).

Find the slope of the two points on the line.

$\bf{Slope =\frac{y_2-y_1}{x_2-x_1} =\frac{11-3}{9-1} =\frac{8}{8} = 1$

Now, let's make our equation in the form of y = mx + b, where m is the slope and b is the y-intercept.

We now have y = 1x + b

Plug in a point and solve for b.

y = 1x + b

3 = 1(1) + b

3 = 1 + b

b = 2


The equation is y = x + 2.