Question

How do you find the slope and intercept of `y = 6 - x`?

Answer 1

gradient =-1
Intercepts are (6,0) and (0,6)

Explanation:

the slope is basically the gradient ie m=-1

the x-intercept is found by subbing y=0 so x=6 (6,0)

the y-intercept is found by subbing x=0 so y=6 (0,6)

Answer 2

The slope is `-1`.

The y-intercept is `6` and the point is `(0,6)`.

The x-intercept is `6` and the point is `(6,0)`.

Explanation:

Given:

`y=6-x` is a linear equation in slope-intercept in slope-intercept form:

`y=mx+b`,

where:

`m` is the slope and `b` is the y-intercept.

`m=-1` and `b=6`

Since the y-intercept is the value of `y` when `x=0`, the point for the y-intercept is `(0,6)`.

The x-intercept is the value of `x` when `y=0`.

`0=6-x`

`x=6`

The x-intercept is `6`.

The point for the x-intercept is `(6,0)`

graph{y=6-x [-11.16, 11.34, -3.375, 7.875]}