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anonymous
 5 years ago
I do not understand the answers I was given to this question. Please help!!! The average cost of tuition and fees at private fouryear colleges was $16,200, and in 2005 it was $20,100. Sketch a line that passes through the points (2000, 16200) and (2005, 20100).
My question is  find the slopeintercept form of the line in the sketch. What is the yintercept and does it have meaning in this situation?
anonymous
 5 years ago
I do not understand the answers I was given to this question. Please help!!! The average cost of tuition and fees at private fouryear colleges was $16,200, and in 2005 it was $20,100. Sketch a line that passes through the points (2000, 16200) and (2005, 20100). My question is  find the slopeintercept form of the line in the sketch. What is the yintercept and does it have meaning in this situation?

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anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0QuantumTorch 6 7 0 medals for this answerer. Alright, I'll solve it showing the steps, and see if that makes a bit more sense. The slope intercept equation for a line is this: \[y = mx + b\] The m is the slope of the line. You find the slope using this: \[\Delta Y \div \Delta X = Y _{1}  Y _{2} div X _{1}  X _{2}\] Using your values and substituting them in, you have: \[(20100  16200) \div (2005  2000) = (3900) \div (5) = 780.\] So, the slope is 780. Then we need to find the yintercept, which in the equation is represented by the variable b. We have a coordinate in the (x,y) format, so we will use those to solve for b: \[y = mx + b\] \[16200 = (780)(2000) + b\] \[162001560000 = b\] \[b = 1543800\] Obviously b is kinda a wacky number, but it is the point at which the line reaches the y axis.

dumbcow
 5 years ago
Best ResponseYou've already chosen the best response.0x is num of years after 2000 y is cost of tuition slope of 2 points = (y2y1)/(x2x1) slope = (20,10016,200)/(50) slope = 3900/5 = 78 Every linear line has the form y=mx+b m =slope b=yintercept plug in slope and x,y from one point to find b 16,200 = 78*0 + b 16,200 =b equation of line is y=78x +16,200

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0Obviously since you cannot have a negative number for tuition (people never paid you to go to college), the intercept has no meaning.

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0dumb cow, 3900/5 is not 78, you're off by a zero, and the x coordinate for 16200 is not zero.

dumbcow
 5 years ago
Best ResponseYou've already chosen the best response.0oh right thanks, it should be 780 it all depends on your reference point you can scale the independent value so it make sense to the problem the initial tuition is 16200 and usually initial x value is 0

dumbcow
 5 years ago
Best ResponseYou've already chosen the best response.0its still the same line with the same slope

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0Yeah but all the x values are waaaay over in the thousands, so it has a long way to get to the y axis.

dumbcow
 5 years ago
Best ResponseYou've already chosen the best response.0wait your right, not same line, i just shifted your line over 2000 units anyway we are prob not helping

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0Lol well, if he looks at mine it makes sense maybe but he hasn't answered. (or she)

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0Thanks, all of you. QuantumTorch I believe you are right. That is what I'm using.

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0using the same equation to estimate tuition and fees in 2001 & compare it to the known value of $17,300. Estimate tuition and fees in 2010.
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