Name: Slope from standard form: solution walkthrough
Uploaded: 2026-11-13
Duration: 1 min 36 s
Description: In the standard (x, y) coordinate plane, what is the slope of the line 2x - 5y = 10? Try it, then watch the animated solution.

In the form

y = mx + b

, the number

m

multiplying

x

is the slope. So solve the equation for

y

.

Subtract

2x

from both sides so only the

y

term is on the left:

{-5y} = {-2x} + 10

.

Divide every term by

{-5}

:

y = \tfrac{2}{5}x - 2

. The slope is

\tfrac{2}{5}

.

Check on the graph: from

(0, {-2})

to

(5, 0)

the line rises

2

while it runs

5

.

Traps:

2

is the coefficient of

x

before solving,

{-\tfrac{2}{5}}

drops a sign,

{-2}

is the

y

-intercept.

Try it first