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Examples: Linear Graphs and its Applications Video Lecture | Mathematics for Grade 6
FAQs on Examples: Linear Graphs and its Applications Video Lecture - Mathematics for Grade 6
| 1. What is a linear graph? |  |
Ans. A linear graph is a graphical representation of a linear equation. It consists of a straight line on a coordinate plane, where each point on the line represents a solution to the equation.
| 2. How can linear graphs be useful in real-life applications? | |
Ans. Linear graphs have various applications in real life, such as predicting future trends, analyzing data, and solving optimization problems. For example, they can be used to analyze sales trends, study population growth, or determine the most cost-effective solution for manufacturing processes.
| 3. What are the key features of a linear graph? | |
Ans. The key features of a linear graph are the slope and y-intercept. The slope represents the rate of change or steepness of the line, while the y-intercept is the point where the line crosses the y-axis. These features provide valuable information about the relationship between variables in a linear equation.
| 4. How can you determine the slope of a linear graph? | |
Ans. The slope of a linear graph can be determined by calculating the change in y-coordinates divided by the change in x-coordinates between any two points on the line. This is often denoted as the ratio "rise over run" or "vertical change over horizontal change."
| 5. What is the significance of the y-intercept in a linear graph? | |
Ans. The y-intercept in a linear graph represents the value of the dependent variable (y) when the independent variable (x) is equal to zero. It provides insight into the initial value or starting point of the relationship between variables. It can also indicate the point at which the line intersects the y-axis.
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