SOLUTION: Can you please help me with this question I am totally clueless as to how to answer this question the working that is. Given a line containing the points (1,3) , (2,4) , (3,5) d

Question 80921: Can you please help me with this question I am totally clueless as to how to answer this question the working that is.
Given a line containing the points (1,3) , (2,4) , (3,5) determine the slope- intercept form of the equation, give one additional point on this line and graph the function.
Thank you in advance.

Found 2 solutions by Mathwiz101, mathnard:
Answer by Mathwiz101(4) (Show Source): You can put this solution on YOUR website!
...Okay... This problem really means "How much is it to get to the next point from the other point". Do you know rise over run? If you don't know, you have to rise one and over two (2/1) to get to the next point from the previous point. Then, 2/1 simplifies to 2. Did I loose you yet? It's complicated. So the slope intercept is 2. Okay, graphing the next point is simple, start with the last point named (3,5) and then go up 1 over 2. (that's where the rise over run thing comes in)
--Hoped I helped
Answer by mathnard(10) (Show Source): You can put this solution on YOUR website!
The previous solution to this problem is 100% INCORRECT. The slope is NOT 2, and the equation of the line was never given.
Slope-intercept form of the line means
where m means the slope and b means the y-intercept.
to find the slope, we will use 2 points and the slope formula:

Let's use the two points (1,3) and (2,4) in the slope formula to find the slope:

Now let's plug in what we know about the line:

Again, pick a point: how about (3,5)? and plug it in so that we can find b:

Now that we know what b is, let's finish writing the equation of the line:

which is the same thing as saying

To find another point on the line, pick a new x value for a point, maybe 4, maybe 100. We could pick either. I'm going to use 4, though because it's smaller, and probably easier to use. (4,y) we still don't know the y. We will find it by plugging in 4 for x to our equation:

so the point (4,6) is on the line.
RELATED QUESTIONS
Please help me. I am so clueless with this question. It asks: In the equation... (answered by scott8148)
I am having a hard time with this one question that I have to do for homework, so someone (answered by Alan3354)
I am trying to understand how x - .30x turns into .7 This is only a part of the question (answered by Alan3354)
Can you please help me with this problem I couldn't find a strategy to answer the... (answered by Edwin McCravy)
I am clueless on how to get this answer, please help. {{{a^2 + 25 =... (answered by askme)
Okay I am working in Geometry and am slightly confused the question is. Two supplementary (answered by jim_thompson5910)
Simplify √-98 √-50 I asked this same question yesterday and got an answer. (answered by scott8148)
The question: A contestant on a game show wins one chip for answering the first question (answered by richwmiller)
i know this is basic math but i am lost the teacher wants us to solve for the unknown. i... (answered by Annabelle1)