Question 147911: Graphing an equation using the slope and intercept of y = 4/3x + 2
I know 4/3 is the slope and 2 is the y – intercept but I am not sure how to graph this. Is this as simple as graphing 4/3 or 1 1/3 on the x axis and 2 on the y axis? It seems to me there is a step I am missing.
If I keep at it, eventually I will get this Algebra stuff.
Answer by nerdybill(7384)   (Show Source):
You can put this solution on YOUR website! As you say, the slope is 4/3 and the y-intercept is 2.
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When we say the y-intercept is at 2, it really means at location (0,2).
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The "slope" is the "rise" over the "run". That is, "rise" tells you the vertical direction (up or down) and the "run" tells you the horizontal direction (right or left).
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So, to draw the line:
1. place a dot at the y-intercept (0,2)
2. now, starting at location (0,2), we can use the "slope" to give us another point. From (0,2), go straight up "4" units and then go right "3" units -- place your second dot here.
3. draw a straight line through the two dots -- that's it, you're done!
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