SOLUTION: This question is from MathXL The question is stated as: Find an equation of the line containing the given pair of points. (3,5) and (9,9). My first step was to identify x1 x2 an

Algebra ->  Algebra  -> Graphs -> SOLUTION: This question is from MathXL The question is stated as: Find an equation of the line containing the given pair of points. (3,5) and (9,9). My first step was to identify x1 x2 an      Log On

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Question 143825: This question is from MathXL
The question is stated as: Find an equation of the line containing the given pair of points. (3,5) and (9,9).
My first step was to identify x1 x2 and y1, y2 so I had 9-5 /9-3 . My answer to that was 4/6 reduced to 2/3. So to write an equation I was trying to put it in the form of y=mx+b So my question is if the 2/3 is x then how do I now get B?
Answer by Earlsdon(6287) About Me  (Show Source):
You can put this solution on YOUR website!
Your first step is good. The slope, m+=+2%2F3, so you can initially write:
y+=+%282%2F3%29x+%2B+b Now, to find the value of b, you substitute the x- and y-values from either one of the two given points into this equation and solve for b. Let's use the first point (3, 5)
5+=+%282%2F3%293+%2B+b Simplify.
5+=+2+%2B+b Subtract 2 from both sides.
b+=+3
The final equation is:
y+=+%282%2F3%29x+%2B+3