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Finding the Slope of a Line Connecting Two Points
In this example, the slope of the line connecting two points in Quadrant I is calculated.
Review of the slope formula:
The slope of the line of the connecting two points can be found by using the slope formula. In this formula the difference in the y-coordinates is divided by the difference in the coordinates. This ratio of the differences in the y- and x-coordinates is the slope. The slope is the ratio of the rise (the difference in the y-coordinates) over the run. Let's look at several different scenarios:
- When the |change in y| > |change in x|. This results in a slope > 1. This is a steep slope.
- When the |change in y| = |change in x|. This results in a slope = 1. This is a slope that makes an angle of 45 degrees.
- When the |change in y| < |change in x|. This results in a slope < 1. This is a slope that is less steep than a 45-degree angle.
- When the change in y > 0 and change in x > 0. This results in a positive slope. In such a case the line connecting the two points points upward in going from left to right.
- When the change in y < 0 and change in x > 0. This results in a negative slope. In such a case the line connecting the two points points downward in going from left to right.
- When the change in y > 0 and change in x < 0. This results in a negative slope. In such a case the line connecting the two points points downward in going from left to right.
- When the |change in y| = 0. This results in a slope = 0. This is a horizontal line.
- When the |change in x| = 0. This results in no slope. This is a vertical line.
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Our current inventory of Math Examples include:
- Math Tutorial: Algebra Tiles
- Math Tutorial: Solving Equations in One Variable
- Math Tutorial: Solving Equations with Fractions
- Math Tutorial: Solving Equations with Percents
- Math Tutorial: Slope formula
- Math Tutorial: Midpoint formula
- Math Tutorial: Distance formula
- Math Tutorial: Graphing linear functions, given m and b
- Math Tutorial: Graphing absolute value functions
- Math Tutorial: Graphing linear inequalities
- Math Tutorial: Using the Point-Slope form
- Math Tutorial: Finding the equation of a line given two points
- Math Tutorial: Graphing parallel and perpendicular lines
- Math Tutorial: Solving quadratics graphically
- Math Tutorial: Solving quadratics by completing the square
- Math Tutorial: Factoring Quadratics
- Math Tutorial: Polynomial Expansion
- Math Tutorial: Solving quadratics using the quadratic formula
- Math Tutorial: Using FOIL
- Math Tutorial: Graphs of Exponential Functions
- Math Tutorial: Laws of Exponents
- Math Tutorial: Graphs of Logarithmic Functions
- Math Tutorial: Graphs of Rational Functions
- Math Tutorial: Combining Rational Expressions
- Math Tutorial: Graphs of Conic Sections
