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Mathematics 7 Online
OpenStudy (firejay5):

Medal will be awarded if your answer is correct/accurate and if you explained it, because our teacher really sucks at teaching.

OpenStudy (firejay5):

OpenStudy (anonymous):

slope Ab = 1/3

OpenStudy (anonymous):

Okay, so first things first, in order to find slope, you need two points, so lets just start with the first one for example, the points are A(-12,0) and B(0,4) so then to find the slope, it is Rise over run. If you hear this and your ears begin to bleed confusion, it is okay,

OpenStudy (anonymous):

|dw:1379983299302:dw|

OpenStudy (anonymous):

now that we have that covered, we can use the slope formula to calculate the slope of line AB.

OpenStudy (anonymous):

|dw:1379983411209:dw|

OpenStudy (anonymous):

4-0 /0-12 This simplifies to 4/-12 we can then simplify it further to become -1/3 this is m (aka the slope)

OpenStudy (mathstudent55):

@ihatealgebrasomuch You started out well with a great explanation, but you made a small arithmetic error.

OpenStudy (anonymous):

Oh, forgive me, it should have been 0- -12, making it a positive 12.

OpenStudy (anonymous):

this makes sense because in the graph, the line is going in the positive direction

OpenStudy (mathstudent55):

\(slope = \dfrac{y_2 - y_1}{x_2 - x_1} = \dfrac{4 - 0}{0 - (-12)} \)

OpenStudy (mathstudent55):

Remember, a positive slope is up to the right. A negative slope is down to the right.

OpenStudy (firejay5):

I having trouble on the second XT

OpenStudy (mathstudent55):

The first step is to use the graph to read the coordinates of points X and T.

OpenStudy (firejay5):

XT = (-12, 5.5) and (1,9)

OpenStudy (mathstudent55):

You're close with both. T is (-1, 9), not (1, 9)

OpenStudy (mathstudent55):

For point X, it's a little tricky, and your estimate of the y-coordinate being 5.5 is not a bad estimate, but we're going to improve it.

OpenStudy (mathstudent55):

What is the y-coordinate of point Y, and what is the y-coordinate of point W?

OpenStudy (firejay5):

it looks like it's (-12, 6)

OpenStudy (mathstudent55):

No point marked there is (-12, 6). Look at point Y. What is the y-coordinate of point Y?

OpenStudy (firejay5):

-13, 5

OpenStudy (mathstudent55):

No. Point Y is to the left of point X. Points are labeled with capital letters. Don't confuse point Y with the small y label of the y-axis.

OpenStudy (mathstudent55):

Good, you got it. I only asked of the y-coordinate, so it's 5.

OpenStudy (firejay5):

yes it's 5

OpenStudy (mathstudent55):

What is the y-coordinate of point W?

OpenStudy (firejay5):

(9, 6) <--- 6

OpenStudy (mathstudent55):

Great.

OpenStudy (mathstudent55):

Here's part of the coordinate plane. |dw:1379985072880:dw|

OpenStudy (firejay5):

I am getting confused more than I started lol

OpenStudy (firejay5):

What are you trying to explain

OpenStudy (mathstudent55):

I'm getting to it very soon. You'll understand it in a minute. We are trying to figure out the y-coordinate of point X which is close to 5.5, but we want the exact number.

OpenStudy (firejay5):

it looks like it's close to 6 like 5.9

OpenStudy (mathstudent55):

|dw:1379985371447:dw|

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