body{margin:0;} noscript{z-index: 10000; position: fixed; display: block; height: 100%; width: 100%; background: #fff;} noscript .fa{font-size: 40px; display:block; color: #daa520;} noscript div{margin-top: 6%; padding-left: 20px; padding-right: 20px; text-align: center;} You must have JavaScript enabled to use this site.

Recommended

Tests

An error ocurred, try again later!

Chapter {{ article.chapter.number }}

{{ article.number }}.

	{{ 'ml-lesson-number-slides' \| message : article.intro.bblockCount}}
	{{ 'ml-lesson-number-exercises' \| message : article.intro.exerciseCount}}
	{{ 'ml-lesson-time-estimation' \| message }}

Image Credits

{{ item.file.title }}
{{ presentation }}

No file copyrights entries found

Rule

Slope Formula

The slope of a line can be found algebraically using the following rule.

$m = \frac{y _{2} - y _{1}}{x _{2} - x _{1}}$

Here, $(x_{1}, y_{1})$ and $(x_{2}, y_{2})$ are two points on the line.

Proof

To prove the slope formula, use the following definition of slope.

m = \frac{change in y - value}{change in x - value}

Consider a line passing through the points

(x_{1}, y_{1})

and

(x_{2}, y_{2}) .

Notice that the change in $y -$ value is the difference between the $y -$ coordinates of the points as well as the change in $x -$ value is the difference between the $x -$ coordinates.

From here, the slope formula can be found by substituting

y_{2} - y_{1}

and

x_{2} - x_{1}

for the change in

y -

value and the change in

x -

value, respectively.

m = \frac{change in y - value}{change in x - value} ⇓ m = \frac{y _{2} - y _{1}}{x _{2} - x _{1}}

{{ article.displayTitle }}

{{ 'ml-heading-abilities-covered' | message }}

{{ 'ml-heading-lesson-settings' | message }}

Rule

Slope Formula

Proof