Question

What is the slope and intercept of `x-5 = 0`?

Answer 1

`"y-intercept "->(x,y)=(0,-5)`

Slope is 1

Explanation:

Write as:`" "x-5=y`

Turn it round and we have the same thing

`y=x-5`

Compare to `y=mx+c`

where m is the gradient. It is known that `1xxx=x` so the gradient m must be 1.

The slope is 1. This means that for every 1 along left to right the graph goes up 1.

The y intercept is at `x=0` so

`y=x-5" becomes "y=0-5`

So the y intercept is at `y=-5`

To write this properly you would present it as

`"y-intercept "->(x,y)=(0,-5)`