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Question 178918: What is the equation of the line passing through the points(3,7) and (11,13)?
Also explain to me what is slope?
Found 2 solutions by Mathtut, ankor@dixie-net.com:
Answer by Mathtut(3670)   (Show Source):
You can put this solution on YOUR website! 3,7) and (11,13)?
slope is the change in y values divided by the change in the x values of 2 points on a line. It is a measurement of how fast or slow a line rises or falls.
Rise would be a positive slope and when a slope falls it is negative.
When looking at a line slope of the line is is considered positive and rising if ascends, from left to right. When looking at a line the slope of the line is considered negative and falling, if it descends looking from left to right.
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m=slope= =change in y/change in x=rise/run.
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lets call (3,7) (x1,y1) and (11,13) (x2,y2)
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you can take the slope from either point but cannot change direction in the middle. In other words you can have y1-y2/x1-x2 or y2-y2/x2-x1 but you cannot have y2-y1/x1-x2 or y1-y2/x2-x1. You must remain consistent through the change in y over change in x
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m=(13-7)/(11-3)=6/8=3/4
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so slope is 3/4 for these 2 points
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now we use the point slope formula....we can use either point and of course the slope is 3/4
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y-k=m(x-h) where (h,k) is any point on the line and m is the slope
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I will use (3,7) as my point
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y-7=(3/4)(x-3)
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y-7=(3/4)x-9/4
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y=(3/4)x+19/4 or we could write this as 4y=3x-9-->3x-4y=9(multiplied terms by 4)
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Answer by ankor@dixie-net.com(22740)  (Show Source):
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