equation of a straight line perpendicular to x-axis passing through the point (3,-1)
To find the equation of a straight line that is perpendicular to the x-axis and passes through the point (3, -1), we need to know that a line that is perpendicular to the x-axis is a vertical line.
A vertical line has an equation of the form x = c, where c is the x-coordinate of any point on the line. In this case, since the line passes through the point (3, -1), the equation of the line would be x = 3.
Here's a breakdown of the steps to determine the equation:
1. Identify that a line perpendicular to the x-axis is a vertical line.
2. Recall that the equation of a vertical line is of the form x = c, where c is the x-coordinate of any point on the line.
3. Use the given point (3, -1) to determine the value of c. Since the x-coordinate is 3, the equation is x = 3.
Therefore, the equation of the straight line perpendicular to the x-axis and passing through the point (3, -1) is x = 3.
so it must be a vertical line
All vertical lines have equation of the form x = c, where c is a constant
look at the point (3,-1) , its x value is 3
so :
x = 3 is the equation.