
How do you graph line through the point with undefined slope?
Answer
453.9k+ views
Hint: If the slope of a line is undefined, then the line is a vertical line, so it cannot be written in slope-intercept form, but it can be written in the form: , where a is a constant. Here, the line has an undefined slope and passes through the point , then the equation of the line is at .
Complete step by step solution:
The line with undefined slope means that the line is parallel to the y-axis (If we measure its slope, then you would get division by zero which is undefined)
The equation of the line is , where a is the value of the x-coordinates that the line passes through.
In this case it passes through hence is the equation.
To graph plot , and so on any point with .
Here is the graph of .
As shown above, the graph line through the point , is a vertical line as the slope of the line is undefined.
Note: The key point to note is that, if the slope of the line is undefined, then, by definition the line is a vertical line. Since we did not have a change in the x values, the denominator of our slope is 0. This means that we have an undefined slope. The slope of a line characterizes the direction of a line and to find the slope, you divide the difference of the y-coordinates of two points on a line by the difference of the x-coordinates of those same two points.
Complete step by step solution:
The line with undefined slope means that the line is parallel to the y-axis (If we measure its slope, then you would get division by zero which is undefined)
The equation of the line is
In this case it passes through
To graph plot
Here is the graph of

As shown above, the graph line through the point
Note: The key point to note is that, if the slope of the line is undefined, then, by definition the line is a vertical line. Since we did not have a change in the x values, the denominator of our slope is 0. This means that we have an undefined slope. The slope of a line characterizes the direction of a line and to find the slope, you divide the difference of the y-coordinates of two points on a line by the difference of the x-coordinates of those same two points.
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