Question

Indicate in standard form the equation of the line passing through the given points. M(0, 6), N(6, 0)

Answer 1

`x + y = 6`

Step-by-step explanation

Given the x- intercept: (a,0)

and the y-intercept : (0,b)

The equation in standard form is given by:

`(x)/(a) + (y)/(b) = 1`

The given x-intercept is N(6,0) and y-intercept is M(0,6).

This implies that:

a=6, and b=6.

We substitute into the formula to obtain:

`(x)/(6) + (y)/(6) = 1`

Multiply through by 6 to get the standard form of the equation as:

`x + y = 6`