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General Equation of a Line Video Lecture | Mathematics (Maths) Class 11 - Commerce

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FAQs on General Equation of a Line Video Lecture - Mathematics (Maths) Class 11 - Commerce

1. What is the general equation of a line?
Ans. The general equation of a line is represented by the formula y = mx + b, where m is the slope of the line and b is the y-intercept.
2. How do you find the slope of a line?
Ans. To find the slope of a line, you need two points on the line. Let's say the coordinates of these two points are (x1, y1) and (x2, y2). The slope (m) can be calculated using the formula m = (y2 - y1) / (x2 - x1).
3. What does the y-intercept represent in the general equation of a line?
Ans. The y-intercept (b) in the general equation of a line represents the point where the line intersects the y-axis. It is the value of y when x is equal to 0.
4. Can the slope of a line be negative?
Ans. Yes, the slope of a line can be negative. A negative slope indicates that the line is decreasing as x increases. In other words, the line is sloping downwards from left to right.
5. How can the general equation of a line be used to graph a line?
Ans. To graph a line using the general equation y = mx + b, you can start by plotting the y-intercept (point on the y-axis where x = 0). Then, use the slope (m) to find additional points on the line by moving horizontally (right or left) and vertically (up or down) according to the slope. Connect these points to form a straight line.
75 videos|238 docs|91 tests
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