Help! I cannot figure this maths question out

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TjoonkJ
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I have been taking part in a bridging mathematics program and have been stuck on this question.
The coordinates of the points A, B, C, D are (1,7), (5,-1), (8,3) (6,7) respectively
C) The line L passes through point D and is parallel to AB. Show that the equation of L is
X-2y+8=0

Any help would be greatly appreciated Thankyou
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gyuigygh
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What is the missing word:

Two lines which are parallel have the same g_______. So to find the g_______ of the line L we can find the g_______ of AB and then we just need a point which we have as it says the line passes through D.
Then as we have point and g_______ we can work out the equation.

(you can find the gradient of like given the coordinates of two points on that line using (y2-y1)/(x2-x1)
)
(you can find the equation of a line when you have a gradient m, and a point (x1, y1) using the formula y-y1=m(x-x1)
)
Last edited by gyuigygh; 1 month ago
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TjoonkJ
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Thank you so much!!
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