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  1. The line parallel to y-axis and passing through this point (4, 5) cuts the x-axis at the point (4, 0) Hence the equation of line parallel to the y axis is x = 4. Example 2: Find the equation of line parallel to the y axis and has the same intercept as the line 3x + 5y - 15 = 0. Solution: The given equation of the line is 3x + 5y - 15 = 0.

  2. Free parallel line calculator - find the equation of a parallel line step-by-step

    • Equations of Line Parallel to X-Axis
    • Equations of Line Parallel to Y-Axis
    • Equations of Line Parallel to X-Axis and Y-Axis Examples

    We know that the equation of x-axis is y=0. Thus, the equation of line parallel to the x-axis is given by the equation: y = k. Where “k” is a constant value. The above equation is considered as the generalized form of line equation parallel to the x-axis. We can also say that “k” is a real number, and it is the distance from the x-axis to the line ...

    The general form of the equation of y-axis is x = 0. Hence, the equation of line parallel to the y-axis is given by the equation: x = k. Where “k” is a constant value, which is a real number that represents the distance from the y-axis to the line x =k. The equation x = k is the generalized form of line equation parallel to y-axis. An example of an...

    Example 1: Determine the line equation which is parallel to the x-axis at a distance of 5 units above the x-axis. Solution: The equation of the straight line parallel to the x-axis is y = k. Since the distance is 5 units above the x-axis, the value of k is positive. Thus, the equation of the straight line parallel to the x-axis at a distance of 5 u...

  3. Equations of Lines Parallel to the y-axis. The equation of a line parallel to the y-axis is given by ‘𝑥 = a‘, where ‘a’ is the 𝑥-coordinate that the line passes through. Lines parallel to the y-axis are vertical. For example, the line parallel to the y-axis passing through (4, 0) is 𝑥 = 4.

  4. Hence, the equation of a straight line parallel to y-axis at a distance a from it is x = a. The equation of y-axis is x = 0, since, y-axis is a parallel to itself at a distance 0 from it. Or. Let P (x, y) be any point on the y-axis. Then clearly, for all position of P we shall the same abscissa 0 or, x = 0. Therefore, the equation of y-axis is ...

  5. The equation of the x-axis is given by y = 0. The equation of the line parallel to the x-axis is y = k, where 'k' is any real number. For example, considering the equation of a line, y = 2, for any value of 'x' the value of 'y' is always equal to 2. This can be understood by substituting various values of 'x' in the line equation, 0(x) + 1(y ...

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  7. Find the equation of the line that is: parallel to y = 2x + 1. and passes though the point (5,4) The slope of y = 2x + 1 is 2. The parallel line needs to have the same slope of 2. We can solve it by using the "point-slope" equation of a line: y − y1 = 2 (x − x1) And then put in the point (5,4): y − 4 = 2 (x − 5)

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