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

Algebra I Help!

-5 / 2

5 / 2

2 / 5

-2 / 5

None of the above

2x - 5y = -10

We want the "y" by itself, so let's move the 2x to the right:
-5y = -10 - 2x

Everything is negative so we can flip the signs and make it positive:
5y = 10 + 2x

And for simplicity rearrange the right side to standard form:
5y = 2x + 10

Now solve for y by dividing everything by 5:
5y/5 = 2x/5 + 10/5

And simplify:
y = (2/5)x + 2

You probably know that y = m*x + b and "m" is the slope therefore
m = slope = 2/5

2x-5y=-10

-5y=-2x-10

y=2/5x+2 2/5