What is the equation of the line passing through $(97,26)$ and $(10,34)$ ?

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Answer 1 · 2016-12-21T22:42:18

$8x+87y-3038=0$

To find the gradient, do rise/run.

= $(34-26)/(10-97)$

= $8/-87=-8/87$

The equation is now $y=-8/87x + c$

The sub one of the coordinates to find c.

$34=-8/87(10) +c$

or $34= -80/87+c$

or $c=-34+80/87$

or $c=(34xx87+80)/87=3038/87$

The full equation is:

$y=-8/87x + 3038/87$

or $8x+87y-3038=0$

What is the equation of the line passing through (97,26)(97,26) and (10,34)(10,34)?