MAT 121 Lecture Notes - Abscissa And Ordinate, The Intercept

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16 Jun 2022
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This unit is about the equations of straight lines. These equations can take various forms depending on the facts we know about the lines. So to start, suppose we have a straight line containing the points in the following list. There are many more points on the line, but we have enough now to see a pattern. If we take any (cid:1876) value and add (cid:884), we get the corresponding (cid:1877) value: (cid:882)(cid:3397)(cid:884)(cid:3404)(cid:884)(cid:481) (cid:883)(cid:3397)(cid:884)(cid:3404) (cid:885)(cid:481) (cid:884)(cid:3397)(cid:884)(cid:3404)(cid:886), and so on. There is a fixed relationship between the (cid:1876) and (cid:1877) co-ordinates of any point on the line, and the equation (cid:1877)(cid:3404)(cid:1876)(cid:3397)(cid:884) is always true for points on the line. Suppose we have a line with equation (cid:1877)(cid:3404)(cid:1876). Then for every point on the line, the (cid:1877) co- ordinate must be equal to the (cid:1876) co-ordinate. So the line will contain points in the.

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