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Slope Intercept Form Video Lecture | Quantitative Aptitude (Quant) - CAT

183 videos|152 docs|113 tests

Timeline

00:00 Graph of a Linear Equation
01:52 Finding Slope of a Line from its Equation
02:22 Slope-intercept Form
02:55 Finding the Quadrant through which Line passes using the Slope-intercept Form

FAQs on Slope Intercept Form Video Lecture - Quantitative Aptitude (Quant) - CAT

1. What is the slope-intercept form of a linear equation?
Ans. The slope-intercept form of a linear equation is a way of writing a linear equation in the form y = mx + b, where m represents the slope of the line and b represents the y-intercept.
2. How do you find the slope and y-intercept from a linear equation in slope-intercept form?
Ans. In a linear equation written in slope-intercept form (y = mx + b), the coefficient of x (m) represents the slope of the line, and the constant term (b) represents the y-intercept. By identifying these values, you can determine the slope and y-intercept of the line.
3. Can a linear equation be written in slope-intercept form if the line is vertical?
Ans. No, a linear equation cannot be written in slope-intercept form if the line is vertical. The slope-intercept form assumes that the line has a non-vertical slope, which means it has a defined y-intercept. A vertical line has an undefined slope and does not have a y-intercept.
4. Is it possible for a linear equation to have a negative slope in slope-intercept form?
Ans. Yes, it is possible for a linear equation to have a negative slope in slope-intercept form. The slope, represented by the coefficient of x (m), can be positive, negative, or zero. A negative slope indicates that the line is decreasing as x increases.
5. How can the slope-intercept form of a linear equation be used in real-life applications?
Ans. The slope-intercept form of a linear equation is commonly used in various real-life applications. For example, it can be used to model and predict the cost of a service based on the number of hours, determine the growth rate of a population over time, or analyze the rate of change in a stock market index. By understanding the slope and y-intercept, we can interpret the meaning of the equation in the context of the problem.
183 videos|152 docs|113 tests

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