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Question 1101425: how to find a slope ona graph when theres more than one coordinate
Answer by math_helper(2461) (Show Source):
You can put this solution on YOUR website! It differs based on the TYPE of graph/function.
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If the graph is that of a straight line, then 2 points are all you need. The letter m is often used to denote the slope of a straight line:
m = (y2-y1)/(x2-x1)
where (x1,y1) and (x2,y2) are the two points on the line.
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For higher order lines (curves), you need to take the derivative of the function represented by the graph. The derivative is the slope of a tangent line to the curve at a given point.
For example, if y = x^2 then dy/dx = 2x. So the slope of a line tangent to x^2 at, say, x=3, is 2*3=6. The slope of the tangent line at, say, x=6, is 2*6=12 (in contrast to the straight line case, notice how the slope changes).
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