Table of Contents
- 1 What can slope-intercept form be used for?
- 2 What does the slope and y-intercept represent in real life?
- 3 What does the intercept of a graph represent?
- 4 What does the slope mean in the context of the situation?
- 5 What is an example of a slope?
- 6 What information does the slope intercept form of a linear equation reveal about a line?
What can slope-intercept form be used for?
How to write an equation in slope intercept form? Now the 2 is in the way of y, so we are going to get rid of it by dividing both sides of the equation by 2.
What does the slope and y-intercept represent in real life?
Slope and y-Intercept Values The slope indicates the rate of change in y per unit change in x. The y-intercept indicates the y-value when the x-value is 0.
What is a real world example of a positive slope?
Positive Slope in the Real World The more people who attend (input), the more chairs she orders (output). James is visiting the Bahamas. The less time that he spends snorkeling (input), the fewer tropical fish he spies (output).
What does the intercept of a graph represent?
An intercept of any function is a point where the graph of the function crosses, or intercepts, the x-axis or y-axis. When the linear function is used to represent a real-world situation, the intercepts have significant meaning in the context of the problem.
What does the slope mean in the context of the situation?
The slope of a line is the rise over the run. Therefore the slope represents how much the y value changes when the x value changes by 1 unit. In statistics, especially regression analysis, the x value has real life meaning and so does the y value.
What is a real world example of positive slope?
What is an example of a slope?
The vertical change between two points is called the rise, and the horizontal change is called the run. The slope equals the rise divided by the run: Slope =riserun Slope = rise run ….Example.
| Blue line | |
|---|---|
| Slope =14 Slope = 1 4 | Substitute the values for the rise and run into the formula Slope riserun Slope rise run . |
What information does the slope intercept form of a linear equation reveal about a line?
The slope-intercept form of a line is a way of writing the equation of a line so that the slope of the line and the y-intercept are easily identifiable. The slope is the steepness of the line, and the y-intercept is the place the line crosses the y-axis.