**Algebra**

If *y* is a linear function of *x*, then the coefficient of *x* is the slope of the line created by plotting the function. Therefore, if the equation of the line is given in the form

then *m* is the slope. This form of a line's equation is called the *slope-intercept form*, because *b* can be interpreted as the y-intercept of the line, the *y*-coordinate where the line intersects the *y*-axis.

If the slope *m* of a line and a point (*x*_{1},*y*_{1}) on the line are both known, then the equation of the line can be found using the point-slope formula:

For example, consider a line running through the points (2,8) and (3,20). This line has a slope, *m*, of

One can then write the line's equation, in point-slope form:

or:

The slope of the line defined by the linear equation

is: .

Read more about this topic: Slope

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### Famous quotes containing the word algebra:

“Poetry has become the higher *algebra* of metaphors.”

—José Ortega Y Gasset (1883–1955)