The line x = 3 isa)A line meeting both x and y axisb)A line passing th...
Line x=3 has special form - it is not from the same family of lines in the form y=mx+b.
Slope is not defined for a line x=3 because it represents vertical line.
Remember the definition of slope. In common words, it is the value that tells us how much is line increasing/decreasing as we move from left to right on the graph. That is why horizontal lines have zero slope - no increase nor decrease on horizontal line.
Now, imagine vertical line. In only 1 point it increases in infinity. Thus, we cannot use any real value of m to describe this behaviour.
The line x = 3 isa)A line meeting both x and y axisb)A line passing th...
Vertical Line Explanation:
Vertical lines are lines that run straight up and down, parallel to the y-axis on a coordinate plane. When the equation of a line is in the form x = a, where 'a' is a constant, it represents a vertical line passing through the point (a, 0) on the x-axis.
Explanation of x = 3:
The equation x = 3 represents a vertical line passing through the point (3, 0) on the x-axis. This means that all the points on this line will have an x-coordinate of 3, but their y-coordinates can vary. The line will be parallel to the y-axis and will not intersect it, making it a vertical line.
Characteristics of x = 3:
- The line x = 3 is a vertical line.
- It passes through the point (3, 0) on the x-axis.
- It is parallel to the y-axis.
- It does not intersect the y-axis.
Therefore, the line x = 3 is a vertical line that passes through the point (3, 0) on the x-axis.