anonymous
  • anonymous
WILL FAN AND METAL!!! A line passes through (2, 8) and (4, 12). Which equation best represents the line? y = 1 over 2x + 6 y = 2x + 7 y = 2x + 4 y = 1 over 2x + 10
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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katieb
  • katieb
I got my questions answered at brainly.com in under 10 minutes. Go to brainly.com now for free help!
eyust707
  • eyust707
The formula for a line can look like this|dw:1437333815430:dw|
eyust707
  • eyust707
The only thing we need to do is figure out what y1, x1 and m is.
anonymous
  • anonymous
I do not understand the formula though :/

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eyust707
  • eyust707
Well if we figure out these three numbers we can plug them in, simplify and we'll have our answer |dw:1437333928564:dw|
anonymous
  • anonymous
When you say plug in numbers do you mean guessing them?
eyust707
  • eyust707
Nope we need to calculate them based on the two points given. "m" represents the slope of a line. If you are given two points the best way to fin the slope is to calculate "the change in y"/"the change in x"
anonymous
  • anonymous
What do you mean by that change in Y and X?? Sorry if I sound clueless :/
eyust707
  • eyust707
(2, 8) and (4, 12) are our points. Whenever we see two number in parenthesis separated by a comma this is telling us where a point is located on a graph. the first number tells us how far over to go left and right (your x value). The second number tells us how far to go up and down (your y value). |dw:1437334303980:dw| To get to point (2,8) you would start at the origin go over 2 spaces then up 8. |dw:1437334574867:dw| If you have two points, to get from one to another you also need to go over by a certain amount and up by a certain amount. |dw:1437334702484:dw| In this case, to get from the first point to the second, we have to go over 2 and up 4 See y goes from 8 to 12. 12 - 8 = 4 so change in y is 4 x goes from 2 to 4. 4-2 = 2 so change in x is 2 change in y/ change in x = 4/2 4/2 = 2 so m = 2
anonymous
  • anonymous
Sorry I resent that message
anonymous
  • anonymous
Okay but It askes me which best represents and equation not the answer
anonymous
  • anonymous
asks~
eyust707
  • eyust707
Yes yes we are getting there, whats more important however than finding the answer is for you to develop an understanding that way you can find all the rest of the answers by yourself!
eyust707
  • eyust707
Do you understand how I got m?
anonymous
  • anonymous
You had changed Y and then X=4/2 so then 4/2 equals 2 so M=2
eyust707
  • eyust707
awesome! now you know how to find "m" or "slope" if given two points! the only other things we need is y1 and x1 Well thats easy, y1 is the y value of the first point and x1 is the x value of the first point.
eyust707
  • eyust707
What is the y value of (2,8) ?
anonymous
  • anonymous
Okay so would I divide 4,12 by 2 or something?
anonymous
  • anonymous
lol sorry wrong number
eyust707
  • eyust707
What is the y value of (2,8) ?
eyust707
  • eyust707
*hint* i explained this and gave you the answer earlier in this thread ;)
anonymous
  • anonymous
Okay but Idk how you find that?
eyust707
  • eyust707
Whenever we see two number in parenthesis separated by a comma this is telling us where a point is located on a graph. the first number tells us how far over to go left and right (your x value). The second number tells us how far to go up and down (your y value).
anonymous
  • anonymous
Ohhh Y is 4
eyust707
  • eyust707
change in y is 4
eyust707
  • eyust707
But the y value of the point (2,8) is simply 8
eyust707
  • eyust707
so y1 = 8
anonymous
  • anonymous
okay
eyust707
  • eyust707
what is the x value of the point (2,8) ?
anonymous
  • anonymous
I thought x was 4,12?
anonymous
  • anonymous
Wait X is 2
eyust707
  • eyust707
correct
eyust707
  • eyust707
x1 = 2
anonymous
  • anonymous
Okay
eyust707
  • eyust707
So if we recall: m=4 y1=8 x1=2
anonymous
  • anonymous
:o would this be C?
eyust707
  • eyust707
Now all we need to do is put those numbers into this equation: |dw:1437336182607:dw|
anonymous
  • anonymous
:/ It is the only one that has 4 in the answer and 2
eyust707
  • eyust707
|dw:1437336219281:dw|
anonymous
  • anonymous
Because X=2
anonymous
  • anonymous
And Y equals 4
eyust707
  • eyust707
x1 equals 2
anonymous
  • anonymous
So Y=2x+4
eyust707
  • eyust707
All you need to do now is simplify this equation|dw:1437336341302:dw|
eyust707
  • eyust707
|dw:1437336351506:dw|
eyust707
  • eyust707
|dw:1437336364838:dw|
eyust707
  • eyust707
Add 8 to both sides and you are done
eyust707
  • eyust707
oops im sorry m = 2
anonymous
  • anonymous
Wait on the equaton that is represented black?
eyust707
  • eyust707
|dw:1437336473127:dw|
eyust707
  • eyust707
|dw:1437336518614:dw|
eyust707
  • eyust707
add 8 to both sides
eyust707
  • eyust707
|dw:1437336564148:dw|
anonymous
  • anonymous
So the answer is C
eyust707
  • eyust707
yep
anonymous
  • anonymous
Yay thank you

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