Question

How do you write an equation in standard form for a line passing through M(0, 6), N(6, 0)?

Answer 1

`y + x - 6 = 0`

Explanation:

First you must find the gradient, and then the `y`-intercept.

To find the gradient, you do the change in `y` `-:` the change in `x`. The change in `y` is found by taking the first value away from the second value. Therefore `0 - 6 = -6`
The change in `x` is `6 - 0 = 6`
Therefore the gradient would be `(-6) -: 6 = -1`

The `y`-intercept is found when `x=0`. Therefore you can use the coordinate M, and the `y`-intercept is `+6`

The overall equation is therefore `y = -x + 6`
This can be rearranged to give the equation `y + x - 6 = 0`