Ask your own question, for FREE!
Mathematics 15 Online
OpenStudy (anonymous):

i need help with the file i add pl look at it help me

OpenStudy (anonymous):

pl look at it help me

OpenStudy (anonymous):

im lost

OpenStudy (anonymous):

im lost pl help me

OpenStudy (calculusfunctions):

For the part of the question, they're asking whether the slope exists or is it undefined? You know that the slope measures the steepness of a line. Slope is the ratio of how much the line rises to how much it runs. In other words, it's the amount of rise divided by the amount of run, determined by any two points on the line. Think of slope more intuitively. Imagine a surface you can walk across or on. For example, imagine a tightrope walker. Let's assume the rope is taught and does not bend at all. The rope is horizontally tied between two points. Regardless of the positions A and B on the rope, the rope is flat and has no Rise, however you walk across from point A to point B, so there is a horizontal distance (Run). Hence we have zero Rise and a Run. Zero divided by any quantity is still zero. Thus the slope that the tightrope walker walks across has a measurement of zero. Therefore the slope of any horizontal line is zero. Now imagine the same rope tied down a wall, From a point on the top of the wall to a point the bottom of the wall. Assuming the wall is completely horizontal, there is a Rise but no Run and it would be nearly impossible to walk on the wall. Hence the there is a Rise but the Run is zero. Any quantity divided by zero is undefined. Therefore the slope of any vertical surface is undefined. Now imagine that the rope is tied at a point from the base of one building to a building across from it, to a window some stories up. Now the rope is in a diagonal position. Between any two points on the rope there will be a non-zero Rise and a non-zero Run. Therefore the slope of any diagonal line will be the amount of Rise divided by the amount of Run measured by any two points taken on the rope. The mathematical formula to calculate slope is, if two specific points\[A(x _{1},y _{1}) and B(x _{2},y _{2})\]are known, is\[m =\frac{ y _{2}-y _{1} }{ x _{2}-x _{1} }\]

OpenStudy (calculusfunctions):

*The first sentence should start For the first part of the question...

OpenStudy (anonymous):

it is b

OpenStudy (calculusfunctions):

Noooo...How do you get b. Option b is listed as undefined. Did you not read what I wrote about what type of lines are undefined?

OpenStudy (anonymous):

10

OpenStudy (calculusfunctions):

What type of lines have undefined slope? The answer is in my explanation.

OpenStudy (calculusfunctions):

What is 10? the slope? No! Show me your calculations.

OpenStudy (calculusfunctions):

Did you even read it or are you being lazy? This is your question. I'm here to teach you so please do your part. If you still don't understand after having made the effort to at least read my explanation and comprehend it, then simply tell me where you still have any doubts and I will be glad to clear them up for you.

OpenStudy (anonymous):

[m=y(y-1)/\pi(\pi-1)\]

OpenStudy (calculusfunctions):

HUH?

OpenStudy (calculusfunctions):

OK can you at least provide me with two points on the line?

OpenStudy (anonymous):

i took m=(y2-y1)/(π2-π1)

OpenStudy (calculusfunctions):

Can you name any two exact points on the line? How about the x-intercept and the y-intercept. They're exact points on the line?

OpenStudy (calculusfunctions):

Which two points did you use?

OpenStudy (calculusfunctions):

For example, do you see that (5, 0) and (0, 8) are two specific points on the given line? Do you see that?

OpenStudy (anonymous):

yes

OpenStudy (calculusfunctions):

OK so then what do you get when you apply the formula?

OpenStudy (anonymous):

y = 8-(8 x)/5

OpenStudy (zzr0ck3r):

I don't think I can help if you cant follow the insanely easy directions that were given two point (x_1, y_1) and (x_0,y_0) slope = (y_1-y_0)/(x_1-x_0) you have the two points....(5,0) and (0,8) y_1 = 8, y_0 = 0, x_1 = 0 x_0 = 5

OpenStudy (zzr0ck3r):

I see you are trying to solve fot x and y or something.

OpenStudy (zzr0ck3r):

don't, you should have no x or y if I have the points (1,1)(3,6) then slope = (6-1)/(3-1)

OpenStudy (anonymous):

y_1 = 8, y_0 = 0

OpenStudy (calculusfunctions):

If the first y is 0 and the second y is 8. Then 8 - 0 = 8. Similarly the second x is 0 and the first x is 5. Then 0 - 5 = -5. Thus the slope of the line is -8/5.

OpenStudy (zzr0ck3r):

ok what is 8-0?

OpenStudy (zzr0ck3r):

now do the same thing for x_1 and x_0

OpenStudy (zzr0ck3r):

then divide the first one by the second one

OpenStudy (anonymous):

5/2 or 2 1/2

OpenStudy (zzr0ck3r):

8-0 = 5?

OpenStudy (calculusfunctions):

Again, If the first y is 0 and the second y is 8, then 8 - 0 = 8. Similarly the second x is 0 and the first x is 5. Then 0 - 5 = -5. Thus what is the slope of the line?

OpenStudy (anonymous):

im lost im dumb

OpenStudy (anonymous):

im half seep it 4.42 am in ga

OpenStudy (calculusfunctions):

No, please do not say that. No one is Dumb.

OpenStudy (calculusfunctions):

Reading back my detailed explanation, I found a couple of things that I wanted to clarify, hence here below is the edited version. For the part of the question, they're asking whether the slope exists or is it undefined? You know that the slope measures the steepness of a line. Slope is the ratio of how much the line rises to how much it runs. In other words, it's the amount of rise divided by the amount of run, determined by any two points on the line. Think of slope more intuitively. Imagine a surface you can walk across or on. For example, imagine a tightrope walker. Let's assume the rope is taught and does not bend at all. The rope is horizontally tied between two points. Regardless of the positions A and B on the rope, the rope is flat and has no Rise, however you walk across from point A to point B, so there is a horizontal distance (Run). Hence we have zero Rise and a non-zero Run. Zero divided by any non-zero quantity is still zero. Thus the slope that the tightrope walker walks across has a measurement of zero. Therefore the slope of any horizontal line is zero. Now imagine the same rope tied down a wall, From a point on the top of the wall to a point on the bottom of the wall. Assuming the wall is completely vertical, there is a Rise but no Run and it would be nearly impossible to walk on the wall. Hence there is a Rise but the Run is zero. Any non-zero quantity divided by zero is undefined. Therefore the slope of any vertical surface is undefined. Now imagine that the rope is tied at a point from the base of one building to a building across from it, to a window some stories up. Now the rope is in a diagonal position. Between any two points on the rope there will be a non-zero Rise and a non-zero Run. Therefore the slope of any diagonal line will be the amount of Rise divided by the amount of Run measured by any two points taken on the rope. The mathematical formula to calculate slope is, if two specific points \[A(x _{1},y _{1})andB(x _{2},y _{2})\]are known, is\[m =\frac{ y _{2}-y _{1} }{ x _{2}-x _{1} }\]

OpenStudy (calculusfunctions):

Look, given A(5, 0) and B(0, 8),\[m =\frac{ 8-0 }{ 0-5 }\]\[m =-\frac{ 8 }{ 5 }\]∴ the slope of the given line is -8/5. Please tell me you understand?

OpenStudy (anonymous):

ok

OpenStudy (calculusfunctions):

OK meaning you understand?

OpenStudy (anonymous):

i tink i do

OpenStudy (calculusfunctions):

Good! Now can you answer the second part of the question?

OpenStudy (anonymous):

ok a is -8/5

OpenStudy (calculusfunctions):

Yes but now for the second question, what do you think the answer is? Look carefully. Think.

OpenStudy (anonymous):

im think it is b or c

OpenStudy (calculusfunctions):

One of those is correct. Analyze the graph carefully and tell me which one and why?

OpenStudy (anonymous):

it b

OpenStudy (calculusfunctions):

OK but why do you think it's b?

OpenStudy (anonymous):

it runing down

OpenStudy (calculusfunctions):

Ok I'll take that response, even though I know you can do much better. If you observe the two points (8, 0) and (0, 5) from left to right on the graph respectively, you see that it falls 8 units from the point (0, 8) and then runs t the right 5 units to the point (5, 0). The fall of 8 units is what accounts for the negative slope.

OpenStudy (calculusfunctions):

Therefore yes, the answer is b, to the second question.

Can't find your answer? Make a FREE account and ask your own questions, OR help others and earn volunteer hours!

Join our real-time social learning platform and learn together with your friends!
Can't find your answer? Make a FREE account and ask your own questions, OR help others and earn volunteer hours!

Join our real-time social learning platform and learn together with your friends!