anonymous
  • anonymous
MEDAL + FAN !!!!!!!!!!!!!!!!!!!!!!!!!
Mathematics
  • Stacey Warren - Expert brainly.com
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chestercat
  • chestercat
I got my questions answered at brainly.com in under 10 minutes. Go to brainly.com now for free help!
anonymous
  • anonymous
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anonymous
  • anonymous
@igreen
anonymous
  • anonymous
@mathstudent55

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anonymous
  • anonymous
@mathmate
anonymous
  • anonymous
@is3535
anonymous
  • anonymous
...
mathstudent55
  • mathstudent55
Do you know the slope-intercept form of the equation of a line? \(y = mx + b\)
anonymous
  • anonymous
yes i recognize that
mathstudent55
  • mathstudent55
That is above the figure you provided. The b part is where the line crosses the y-axis. That is called the y-intercept. Look in the given graph. At what point on the y-axis does the line cross the y-axis?
anonymous
  • anonymous
110
mathstudent55
  • mathstudent55
Great. We no have that b = 110, and we have this much: \(y = mx + 110\) Now we need to find m, the slope.
anonymous
  • anonymous
ok
mathstudent55
  • mathstudent55
To find the slope, you can use two points of the line. Pick two points that are easy to read on your graph. That means, pick two points that are on intersections of the grid lines. Can you read two points?
anonymous
  • anonymous
yes i can
mathstudent55
  • mathstudent55
One point can be the one that includes y = 110.
anonymous
  • anonymous
(10,110) ?
mathstudent55
  • mathstudent55
Close. It's (0, 110). Since it's on the y-axis, the x-coordinate is 0. (0, 110) is a good point. Now we need another one.
anonymous
  • anonymous
see i was going to say 0 but i thought it wouldn't count since 0 is the orgin
anonymous
  • anonymous
but it makes since since (0,110) = 110
anonymous
  • anonymous
my next one is (10,90)
anonymous
  • anonymous
also i just realized that 10,110 is not on the line anyway , lal
mathstudent55
  • mathstudent55
You get to the point we are talking about, (0, 110), by starting at the origin. You go 0 right or left. That is why the x-coordinate is 0. Then you go 110 up. That makes the y-coordinate 110. The point is (0, 110) That means start at the origin, go 0 right or left (you're still at the origin), then go up 110. You end up at the point 110 on the y-axis.
anonymous
  • anonymous
exactly ^
mathstudent55
  • mathstudent55
Yes, (10, 90) is a good point because it's easy to read since it falls on the grid lines. Another easy point would be (20, 70). Ok, let's use (0, 110) and (10, 90)
anonymous
  • anonymous
ok now whet?
mathstudent55
  • mathstudent55
We need to find the slope of the line that has those two points. The way to find the slope is subtract the two y-coordinates. Then subtract the two x-coordinates. Divide the first difference by the second difference.
anonymous
  • anonymous
like x^1 - x^2 y^1 - y^2
mathstudent55
  • mathstudent55
|dw:1434398858240:dw|
anonymous
  • anonymous
oops i was backwords
mathstudent55
  • mathstudent55
The order does not matter, as long as you do both subtractions int he same order.
mathstudent55
  • mathstudent55
|dw:1434399014025:dw|
anonymous
  • anonymous
-20/10 is what i got
mathstudent55
  • mathstudent55
Now we need to do the subtractions in the numerator and denominator.
anonymous
  • anonymous
|dw:1434399153286:dw|
anonymous
  • anonymous
|dw:1434399177385:dw|
anonymous
  • anonymous
|dw:1434399221808:dw|
anonymous
  • anonymous
am i correct? @mathstudent55
mathstudent55
  • mathstudent55
|dw:1434399234449:dw|
anonymous
  • anonymous
:D
mathstudent55
  • mathstudent55
You have a fraction. A fraction means division.
anonymous
  • anonymous
i know but i thought you said subtract
mathstudent55
  • mathstudent55
|dw:1434399290651:dw|
anonymous
  • anonymous
|dw:1434399386993:dw|
mathstudent55
  • mathstudent55
You subtract the y's and you subtract the x's. Then you divide one subtraction by the other one.
mathstudent55
  • mathstudent55
Yes. The slope is -2. That goes in the m of the slope-intercept equation.
anonymous
  • anonymous
y=-2x+110 :D
mathstudent55
  • mathstudent55
Correct.
mathstudent55
  • mathstudent55
Notice that if we used the points in the other order, the slope would still be the same:
mathstudent55
  • mathstudent55
|dw:1434399447815:dw|
anonymous
  • anonymous
OK i would just like to say thank you very much for your time here, you have helped me far beyond me expectations, there for, i shall fan you in hope that i may be able to ask for your assistance again c;
mathstudent55
  • mathstudent55
When you use two points to find the slope, it makes no difference which point you use first and which point you use second for the y- and x-coordinate subtractions. The important thing is to do both subtractions in the same order.
anonymous
  • anonymous
I have another problem like this and i will message you if i need help on it, thank you and good day sir
mathstudent55
  • mathstudent55
You are very welcome. Thanks for paying attention. You did a great job! Feel free to ask me for help anytime. It's just that now I gtg.

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