What is the equation of the graphed linear model?

y = ?x + ?

http://static.k12.com/calms_media/media/1549000_1549500/1549111/1/2645d5608dd2447fe0a945a17ea65ea92e58e6cb/MS_IMC-141014-181215.jpg

Question

What is the equation of the graphed linear model?
 
y = ?x + ?

http://static.k12.com/calms_media/media/1549000_1549500/1549111/1/2645d5608dd2447fe0a945a17ea65ea92e58e6cb/MS_IMC-141014-181215.jpg

anonymous · Answer

What's the y-intercept?

The y-intercept is the place where the line crosses the y-axis, and what's that?

anonymous · Answer

Would it be 16?

anonymous · Answer

Um, no..

anonymous · Answer

So what should the y-intercept be?

anonymous · Answer

Okay, I was just about to guess that one but didn't wanna get it wrong again. 24?

anonymous · Answer

Yep, you got it.

So 24 goes at the end:

y = ?x + 24

Now we have to find the slope.

anonymous · Answer

Take any two points on the line, let's take (4, 16) and (6, 12) and let's plug them into the slope formula:

$m = \dfrac{12-16}{6-4}$

Subtract & Divide

anonymous · Answer

Erm, well after subtracting it I think the fraction would be $$\frac{ -4 }{ 2 }$$

anonymous · Answer

And then dividing that it would be -2?

anonymous · Answer

Yep, you got it.

anonymous · Answer

SO our final answer is:

y = -2x + 24

anonymous · Answer

*So

anonymous · Answer

okay, thank you so much for your help! I actually understand this problem more now. :D