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

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Answer 1 · 2018-03-05T14:52:47

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

First, we need the gradient:
$m=(y_2-y_1)/(x_2-x_1)=(68-3)/(43-10)=65/33$

$y=(65x)/33+c$

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

$3=10(65/33)+c$

$c=3-650/33=-551/33$

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

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