SSC CGL Exam > SSC CGL Videos > SSC CGL Tier 2 - Study Material, Online Tests, Previous Year > Tips & Tricks: Linear Equations
Tips & Tricks: Linear Equations Video Lecture | SSC CGL Tier 2 - Study Material, Online Tests, Previous Year
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FAQs on Tips & Tricks: Linear Equations Video Lecture - SSC CGL Tier 2 - Study Material, Online Tests, Previous Year
| 1. What is a linear equation? |  |
Ans. A linear equation is an equation that represents a straight line when graphed. It is an algebraic equation in which the highest power of the variable is 1. The general form of a linear equation is y = mx + b, where y is the dependent variable, x is the independent variable, m is the slope, and b is the y-intercept.
| 2. How do you solve a linear equation? | |
Ans. To solve a linear equation, you need to isolate the variable on one side of the equation. This can be done by performing various operations such as addition, subtraction, multiplication, and division on both sides of the equation. The goal is to simplify the equation and obtain the value of the variable.
| 3. What is the slope-intercept form of a linear equation? | |
Ans. The slope-intercept form of a linear equation is y = mx + b, where m represents the slope of the line and b represents the y-intercept. In this form, the slope indicates the rate of change of y with respect to x, and the y-intercept represents the value of y when x is equal to 0.
| 4. How do you find the slope of a linear equation? | |
Ans. The slope of a linear equation can be found by comparing the change in the y-coordinates to the change in the x-coordinates between any two points on the line. It is calculated using the formula: slope (m) = (change in y) / (change in x). Alternatively, if the equation is in the slope-intercept form (y = mx + b), the coefficient of x (m) represents the slope.
| 5. Can linear equations have more than one solution? | |
Ans. No, linear equations usually have only one solution. This is because a linear equation represents a straight line, and a line intersects the x-axis and y-axis at only one point. However, there are special cases where the equation may have infinitely many solutions if the equation is an identity (e.g., 0 = 0) or no solutions if the equation is a contradiction (e.g., 0 = 1).
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Dec 22, 2024 Last updated |
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