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

1 Answer
Mar 13, 2018

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