Can someone help me with Algebra 2?
Sure. Just post the problems that you need help with.
Number 18
So you need to write an equation for the line shown in the graph. Are you familiar with slope intercept form (shown below) ? y = mx + b
Yes
What does m and b stand for?
M is slope and B is the y intercept
What is the y intercept?
On the problem?
In general, like what is it?
The point where the line crosses the y axis
Correct. So simply locate that point on the graph and you have your b value.
I just wanted to make sure you knew what it was.
So would it be -2?
Correct.
What about m?
m stands for the slope of the line. Do you know what slope is?
The measure of of a line?
Close. It is the rise/run of a line. Let me give you an example. Say I have some stairs. |dw:1534902377173:dw| Each step is three inches long and one inch high. If I were to put a straight line over the top of each step, the slope of it would be 1/3. That's because it rose by one and ran by three.
Note that rise relates to the y axis (vertical) and run relates to the x axis (horizontal). Try to get the imagery in your mind of it rising, then running. That helps you envision the slope well.
So is rise over run? so for a examply 5 would be rise and 2 would be run?
For problem 18?
No just a example. But for 18 would it be m=-2/-5x - 2?
Your rise is correct but your run is not. Try take a look at which direction it's going in.
Also, if a slope looks like this, |dw:1534902745621:dw| Then it is a negative slope. You obtain your slope by dividing two numbers, the rise and the run. If a slope is negative, then only one number (the rise or run) can be negative.
So 5?
Yes. It is moving towards the positive side of the x axis so the five would be positive.
m=-2/5?
Yes.
So y=-2/5 - 2?
Wait I think I'm blind. Lol. http://prntscr.com/klg3p9 Look at these two points. How much is the rise and how much is the run. It's not -2/5. I don't know what points we were looking at, haha.
:/ this is confusing
http://prntscr.com/klg47m This may help. How much did it rise by, and how much did it run by? It may also help to think of it as a triangle.
I cant see it
Look at your graph. Just find two points on the line, then measure by how much it rose, then by how much it ran.
Can you view that?
So it rose one and ran 3?
If it rose by one, it would be on the positive side of the x axis (above it). Instead, where did it go?
It went negative
So what sign would the one have?
-1/3?
Correct
So it would be y=-1/3x - 2?
Yes
Ok thank you!
No problem. Glad you got it.
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