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#