# Summary: Equations of Lines

## Key Concepts

- Given two points, we can find the slope of a line using the slope formula.
- We can identify the slope and
*y*-intercept of an equation in slope-intercept form. - We can find the equation of a line given the slope and a point.
- We can also find the equation of a line given two points. Find the slope and use point-slope form.
- The standard form of a line has no fractions.
- Horizontal lines have a slope of zero and are defined as [latex]y=c[/latex], where
*c*is a constant. - Vertical lines have an undefined slope (zero in the denominator) and are defined as [latex]x=c[/latex], where
*c*is a constant. - Parallel lines have the same slope and different
*y-*intercepts. - Perpendicular lines have slopes that are negative reciprocals of each other unless one is horizontal and the other is vertical.

## Glossary

**slope**- the change in
*y-*values over the change in*x-*values

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- College Algebra.
**Provided by:**OpenStax**Authored by:**Abramson, Jay et al..**Located at:**https://openstax.org/books/college-algebra/pages/1-introduction-to-prerequisites.**License:**CC BY: Attribution.**License terms:**Download for free at http://cnx.org/contents/[email protected].