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

Jun 6, 2016

$\text{y-intercept } \to \left(x , y\right) = \left(0 , - 5\right)$

Slope is 1

#### Explanation:

Write as:$\text{ } x - 5 = y$

Turn it round and we have the same thing

$y = x - 5$

Compare to $y = m x + c$

where m is the gradient. It is known that $1 \times x = x$ 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

$y = x - 5 \text{ becomes } y = 0 - 5$

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

To write this properly you would present it as

$\text{y-intercept } \to \left(x , y\right) = \left(0 , - 5\right)$