Question

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

Answer 1

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

Explanation:

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.")`