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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.
- Lines Parallel to Axes
The equation of the line parallel to the x-axis is y = k,...
- Lines Parallel to Axes
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...
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) - 2 = 0, which always results in y =2. This ...
The calculator will find the equation of the parallel/perpendicular line to the given line passing through the given point, with steps shown. For drawing lines, use the graphing calculator. Find the equation of the line to the line passing through the point (, ) Enter the equation of a line in any form: y=2x+5, x-3y+7=0, etc.
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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Jan 18, 2024 · To find the distance between two parallel lines in the Cartesian plane, follow these easy steps: Find the equation of the first line: y = m1 × x + c1. Find the equation of the second line y = m2 × x + c2. Calculate the difference between the intercepts: (c2 − c1). This is the distance between the two parallel lines.
