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

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Answer 1 · 2016-05-12T22:20:27

$"gradient "-> 2/5$

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

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

Add $5y$ to both sides

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

But $-5y+5y=0$

$2x+0=5y$

Divide both sides by 5

$2/5x=5/5y$

But $5/5 = 1$

$2/5x=y$

Write as $" "y=2/5x$

In this case the value of $c$ in $y=mx+c" "->" "c=0$

The gradient $m=2/5$

How do you find slope given 2x-5y=02x-5y=0?