Question

What is the slope of the line 5x - 2y = 10?

Answer 1

you want to change this to
y = mx+b
m (the number in front of the x) will be the slope

first step:

add -5x to both sides, what do you get?

Answer 2

-2y = 10 + 5x

right?

Answer 3

-5x to both sides

try again:

-5x + 5x - 2y = 10 -5x
simplify it

Answer 4

now divide both sides by -2 (that means every term on both sides get divided by -2)
what do you get?

Answer 5

1st make y the subject of the formula...

5x-2y=10
-2y=10-5x
y=(10-5x)/2 Or y= (10/2) - (5/2)x


therefor, y=mx+c has m as gradient (slope)
so, 5/2 Or 2.5 is the Slope