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Y = a + bX, in the given linear equation, the intercept term is denoted by
  • a)
    a
  • b)
    b
  • c)
    X
  • d)
    Y
Correct answer is option 'A'. Can you explain this answer?
Verified Answer
Y = a + bX, in the given linear equation, the intercept term is denote...
Y = a + bX, in linear equation, the intercept term is denoted by a. It is the point at which this line intersect at y-axis.
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Y = a + bX, in the given linear equation, the intercept term is denote...
Linear Equation:
A linear equation is an equation that represents a straight line in a graph. It can be written in the form of "Y = a + bX", where Y is the dependent variable, X is the independent variable, and a and b are constants that determine the slope and intercept of the line.

Intercept Term:
In a linear equation, the intercept term represents the value of the dependent variable (Y) when the independent variable (X) is equal to zero. It is denoted by the constant 'a' in the equation "Y = a + bX".

Explanation:
In the given linear equation "Y = a + bX", the intercept term is denoted by 'a'. This means that when the value of X is zero, the equation simplifies to "Y = a". Therefore, 'a' represents the value of Y when X is zero, or in other words, it represents the Y-intercept of the line.

To understand this concept further, let's consider an example. Suppose we have the equation "Y = 3 + 2X". In this equation, the constant term '3' is the intercept term (a). It tells us that when X is zero, the value of Y is 3. So, the line represented by this equation intersects the Y-axis at the point (0, 3).

Similarly, if we have the equation "Y = -2 + 4X", the intercept term is '-2' (a). This means that when X is zero, the value of Y is -2. So, the line represented by this equation intersects the Y-axis at the point (0, -2).

In summary, the intercept term (a) in a linear equation represents the value of the dependent variable (Y) when the independent variable (X) is zero. It helps in determining the Y-intercept of the line.
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Y = a + bX, in the given linear equation, the intercept term is denoted bya)ab)bc)Xd)YCorrect answer is option 'A'. Can you explain this answer?
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