What is the equation of the graphed linear model?

y = x +
http://static.k12.com/calms_media/media/1549000_1549500/1549109/2/a4d8cb5972366f402912ed1759aeadaa5560d1f1/MS_IMC-141014-181213.jpg

Question

What is the equation of the graphed linear model? 
 
y =   x +  
http://static.k12.com/calms_media/media/1549000_1549500/1549109/2/a4d8cb5972366f402912ed1759aeadaa5560d1f1/MS_IMC-141014-181213.jpg

anonymous · Answer

@iGreen

igreen · Answer

Take the two points on the line and plug them into slope-formula.

(1, 3) and (9, 11)

$m = \dfrac{y_2-y_1}{x_2-x_1}$

$m = \dfrac{11-3}{9-1}$

Simplify

anonymous · Answer

$$\frac{ 8 }{ 8 } = 1$$

igreen · Answer

Yes, so the slope is 1.

Now we can plug this into point-slope form along with one of the two points.

$y - y_1 = m(x - x_1)$

Where $y_1$ is the y-value of the point, $x_1$ is the x-value of the point, and $m$ is the slope.

So we have:

$y - 3 = 1(x - 1)$

Distribute 1 into the parenthesis:

$y - 3 = x - 1$

Add 3 to both sides, what's -1 + 3?

anonymous · Answer

2?

igreen · Answer

Yep, so we have:

$y = x + 2$

igreen · Answer

So you can put 1 in the first blank and 2 in the 2nd.