3 Vocabulary Terms - Define/Illustrate
1. Slope from a table 2. Slope from a graph 3. Slope from an equation
1. Slope from a table: The slope from a table refers to the rate of change between two points on a table. It is calculated by determining the difference in the y-coordinates of the two points and dividing it by the difference in the x-coordinates. For example, if we have a table with the points (1, 3) and (5, 9), the slope would be (9 - 3) / (5 - 1) = 6/4 = 1.5.
2. Slope from a graph: The slope from a graph refers to the steepness of a line on a graph. It is determined by finding the ratio of the vertical change (rise) to the horizontal change (run) between two points on the line. For example, if we have a graph with two points (2, 4) and (6, 10), the slope would be (10 - 4) / (6 - 2) = 6/4 = 1.5. The graph would show a line that rises by 6 units for every 4 units it moves horizontally.
3. Slope from an equation: The slope from an equation refers to the coefficient of the x-term in a linear equation in slope-intercept form (y = mx + b), where m represents the slope. For example, if we have the equation y = 2x + 3, the slope would be 2. This means that for every 1 unit increase in x, y will increase by 2 units.