Slope

Find Slope Using Coordinates [Ordered Pairs]

Copy and paste the following link into your browser to learn more about finding slope using coordinates [that is, ordered pairs]: https://youtu.be/9afWJOzXR9g

Slope Formula

The slope 'm' of a line passing through points (x₁, y₁) and (x₂, y₂) is the ratio of the difference in the 'y' coordinates to the corresponding difference in the 'x' coordinates. Stated symbolically: SLOPE [m] = y₂ - y₁ / x₂ - x₁, where x₂ ≠ x₁ IMPORTANT NOTE: it does not matter which point you define as (x₁, y₁) and (x₁, y₂) However, the coordinates of BOTH points must be used in the SAME order.

Finding Slope Using a Table

If the points provided in a table all lie on a line, then choose two points [that is ordered pairs of 'x' and 'y' coordinates] to find the changes in the 'x' and 'y' values. SLOPE = change in 'y' values divided by the change in 'x' values If the change in 'y' values = 9 -12, and of the change is 'x' values = 3-1 Then the slope of this line is -3/2. Copy and paste the following link into your browser to learn more about finding slope using a table: https://youtu.be/aP2-tjvRt6E

Finding Slope Using a Graph

If the vertical change [rise] of a line on a graph is 2 units, while the horizontal change [run] of the same line on a graph is 3 units, then SLOPE = rise/run = 2/3, which means the slope of this line 2/3. Copy and paste the following link into your browser to learn more about finding slope using a graph: http://www.bing.com/videos/search?q=finding+slop+using+a+graph&&view=detail&mid=A89EA8B26611DFAE2AD1A89EA8B26611DFAE2AD1&FORM=VRDGAR

Rise and Run

The RISE is the VERTICAL distance between the two points on the graph. The RUN is the HORIZONTAL distance between the two points on the graph.

Slope

The constant rate of change of a line called the SLOPE of the line. Slope is the ratio of the RISE, or vertical change over the RUN, or horizontal change. SLOPE = RISE / RUN In other words, SLOPE is the VERTICAL change between any two points divided by the HORIZONTAL change in any two points

Translating Rise and Run

What different types of rise and run represent: UP ➜ POSITIVE DOWN ➜ NEGATIVE RIGHT ➜ POSITIVE LEFT ➜ NEGATIVE