What is the equation of the line passing through (10,3), (43,68)(10,3),(43,68)?

1 Answer
1s2s2p
Mar 5, 2018

y=(65x)/33-551/33y=65x33−55133
y=1.97x-16.70y=1.97x−16.70 ("to 2d.p.")(to 2d.p.)

Explanation:

First, we need the gradient:
m=(y_2-y_1)/(x_2-x_1)=(68-3)/(43-10)=65/33m=y2−y1x2−x1=68−343−10=6533

y=(65x)/33+cy=65x33+c

Now, we put in either one of our coordinates, in this case (10,3)(10,3)

3=10(65/33)+c3=10(6533)+c

c=3-650/33=-551/33c=3−65033=−55133

y=(65x)/33-551/33y=65x33−55133
y=1.97x-16.70y=1.97x−16.70 ("to 2d.p.")(to 2d.p.)

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