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- Determine the gradient of a segment in line that connecting points:
and ![{\displaystyle \!Y=(\!-3,\!-4)}](https://wikimedia.org/api/rest_v1/media/math/render/svg/c29a64bd6daaf0eb31bc953f07a3e6b43459c009)
and ![{\displaystyle \!B=(\!3,\!4)}](https://wikimedia.org/api/rest_v1/media/math/render/svg/a45b437d7f292f5a2ed4882c6e4a4e87d87c86a5)
and ![{\displaystyle \beta =(\!-2,\!8)}](https://wikimedia.org/api/rest_v1/media/math/render/svg/ef87cb3166f62a2455ee49a2f6fc265e5341c4ff)
and ![{\displaystyle \Delta =(\!4,\!1)}](https://wikimedia.org/api/rest_v1/media/math/render/svg/77b00a047cb55864ffe09bafcce58d2124478c81)
and ![{\displaystyle \!Q=(\!6,\!-3)}](https://wikimedia.org/api/rest_v1/media/math/render/svg/e1795e1c2534d777537c301c29ede4f201711c40)
and ![{\displaystyle \!F=(\!4,\!6)}](https://wikimedia.org/api/rest_v1/media/math/render/svg/b4019b994e6ea572d665545e9584e429eef3d075)
and ![{\displaystyle \Omega =(\!-4,\!-9)}](https://wikimedia.org/api/rest_v1/media/math/render/svg/249feb98761a3a5f5d192b1c8c22b7b53bae302f)
and ![{\displaystyle \!N=(\!5,\!-6)}](https://wikimedia.org/api/rest_v1/media/math/render/svg/6d43d191725a5e01274edaa22751c21e982bdbd4)
and ![{\displaystyle \!S=(\!-4,\!-10)}](https://wikimedia.org/api/rest_v1/media/math/render/svg/4be5e34be201ee9727b779c5fb16c127991838c2)
and ![{\displaystyle \!D=(\!5,\!-3)}](https://wikimedia.org/api/rest_v1/media/math/render/svg/82648722524347599062f422299b159ce623e580)
- Find the gradient line from:
![{\displaystyle \!x+\!y=\!14}](https://wikimedia.org/api/rest_v1/media/math/render/svg/b98c621bfbd03481f5da32e526d4ab0a196b2bd3)
![{\displaystyle \!3x-\!5y=\!11}](https://wikimedia.org/api/rest_v1/media/math/render/svg/b4fe2c6a4fbb97bb82deda3ca9fe93dcb7b908d8)
![{\displaystyle \!5x+\!4y=\!41}](https://wikimedia.org/api/rest_v1/media/math/render/svg/d65341ce967b6cbc56123205143fe4679fe6893a)
![{\displaystyle \!x-\!y=\!15}](https://wikimedia.org/api/rest_v1/media/math/render/svg/306e5fb9da089050bea7635fe8e152f52ee1ebab)
![{\displaystyle \!3(\!2x+\!5y)=\!3}](https://wikimedia.org/api/rest_v1/media/math/render/svg/c772261fb568c8d238df0e7e0bb41a1485ed21f6)
![{\displaystyle \!5x-\!y=\!18}](https://wikimedia.org/api/rest_v1/media/math/render/svg/6a45f6d4ca5f2ca1ac40ac3579376889e8e0d2d8)
![{\displaystyle \!6x+\!3y=\!62}](https://wikimedia.org/api/rest_v1/media/math/render/svg/685f3aeb6bd84f375e572ee0a7c2327dc6a1fc7c)
![{\displaystyle \!10x-\!5y=\!75}](https://wikimedia.org/api/rest_v1/media/math/render/svg/80a04da643d7e34f576faf3f5f11d6f9b68364ed)
![{\displaystyle \!7x+\!3y=\!-8}](https://wikimedia.org/api/rest_v1/media/math/render/svg/3317fb6acdd2fec50b999fdb0174da4e0d733a12)
![{\displaystyle \!3x-\!5y=\!-30}](https://wikimedia.org/api/rest_v1/media/math/render/svg/e37389499ad2b2347f668c7a517de8fea6ec5807)
![{\displaystyle \!5x+\!9y=\!-2}](https://wikimedia.org/api/rest_v1/media/math/render/svg/818baf554c8dc31f25619feb07d8cbbd083f11af)
![{\displaystyle \!4x+\!y=\!0}](https://wikimedia.org/api/rest_v1/media/math/render/svg/bc88813c72e55de7981a797a8f2e1c603011fd8c)
![{\displaystyle \!6x-\!3y=\!0}](https://wikimedia.org/api/rest_v1/media/math/render/svg/a5320380dcd72db2fa9f9d9d174c917a31d8dbac)
![{\displaystyle \!4(\!3x+\!y)=\!8}](https://wikimedia.org/api/rest_v1/media/math/render/svg/74efb1ccdb498cae3a7a60451c12cd4b87b6496e)
![{\displaystyle \!2x-\!0,5y=\!-7}](https://wikimedia.org/api/rest_v1/media/math/render/svg/7b0fcaae66ad9610ced164052881e5d350fff0e6)
![{\displaystyle \!1,5x+\!2,5y=\!21}](https://wikimedia.org/api/rest_v1/media/math/render/svg/633bb077b0e65029f060a66a5fcdabfe5c8aaf7d)
![{\displaystyle \!2,4x+\!1,5y=\!14,7}](https://wikimedia.org/api/rest_v1/media/math/render/svg/d403d3852a28139b85366c08c1994d904c30ee77)
![{\displaystyle \!3,2x-\!2,3y=\!5}](https://wikimedia.org/api/rest_v1/media/math/render/svg/45839217e524536c347078c44ce8568803e764e8)
![{\displaystyle \!4,5x+\!2,7y=\!18,9}](https://wikimedia.org/api/rest_v1/media/math/render/svg/595b7d3ed2f8170522eb313f652b651242e70c36)
![{\displaystyle \!6,7x-\!1,9y=\!19,2}](https://wikimedia.org/api/rest_v1/media/math/render/svg/d8895cc5eed9a8afdacfb51e82131a17e303e57a)
- Draw in the Cartesian diagram if known the four points are:
![{\displaystyle \!A=\!(\!4,\!-2),\!B=\!(\!3,\!3),\!C=\!(\!-6,\!3),\!D=\!(\!5,\!4)}](https://wikimedia.org/api/rest_v1/media/math/render/svg/17b227dd98a03d3e3778fe95f71befba352dff2c)
![{\displaystyle \!A=\!(\!-7,\!-1),\!B=\!(\!4,\!-2),\!C=\!(\!-1,\!-9),\!D=\!(\!-4,\!3)}](https://wikimedia.org/api/rest_v1/media/math/render/svg/28c53762776f4678bbc397f83430894725f8f13b)
![{\displaystyle \!A=\!(\!-5,\!5),\!B=\!(\!6,\!-6),\!C=\!(\!-3,\!3),\!D=\!(\!2,\!-2)}](https://wikimedia.org/api/rest_v1/media/math/render/svg/53054e9dec90ca654fe415480b7b32d4676f08f0)
![{\displaystyle \!A=\!(\!1,\!-10),\!B=\!(\!-3,\!-6),\!C=\!(\!4,\!7),\!D=\!(\!-6,\!1)}](https://wikimedia.org/api/rest_v1/media/math/render/svg/e6eb167e6930e071da20e9bf060f19a2262fdf4a)
![{\displaystyle \!A=\!(\!-2,\!-2),\!B=\!(\!-5,\!7),\!C=\!(\!1,\!3),\!D=\!(\!-9,\!5)}](https://wikimedia.org/api/rest_v1/media/math/render/svg/47151c40651cf68bfed5a2c76925dc8da3bebb9c)
- From the questions number 3, calculate the gradient of line AB and line CD.
- From the questions number 3, are the both lines parallel? If not, give the reason.