# How do you find slope given 2x-5y=0?

May 12, 2016

$\text{gradient } \to \frac{2}{5}$

That is: For every 5 along the graph has gone up 2

#### Explanation:

Objective: To end up with the general equation form $y = m x + c$
where $m$ is the gradient.

Add $5 y$ to both sides

$2 x - 5 y + 5 y = 0 + 5 y$

But $- 5 y + 5 y = 0$

$2 x + 0 = 5 y$

Divide both sides by 5

$\frac{2}{5} x = \frac{5}{5} y$

But $\frac{5}{5} = 1$

$\frac{2}{5} x = y$

Write as$\text{ } y = \frac{2}{5} x$

In this case the value of $c$ in $y = m x + c \text{ "->" } c = 0$

The gradient $m = \frac{2}{5}$