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 =(y_2-y_1)/(x_2-x_1) =(11-3)/(9-1) =(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.