Equations of Lines Parallel to x-axis and y-axis

  • Linear equations of the form y = a, when represented graphically are lines parallel to the x-axis and a is the y-coordinate of the points in that line.
  • Linear equations of the form x = a, when represented graphically are lines parallel to the y-axis and a is the x-coordinate of the points in that line.

When we draw the graph of the linear equation in one variable then it will be a point on the number line.

x – 5 = 0

x = 5

This shows that it has only one solution i.e. x = 5, so it can be plotted on the number line.

But if we treat this equation as the linear equation in two variables then it will have infinitely many solutions and the graph will be a straight line.

x – 5 = 0 or x + (0) y – 5 = 0

This shows that this is the linear equation in two variables where the value of y is always zero. So the line will not touch the y-axis at any point.

x = 5, x = number, then the graph will be the vertical line parallel to the y-axis.

All the points on the line will be the solution of the given equation.

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