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Which two points lie on a line with an undefined slope?
Any two points on a vertical line. For example, the line x=7 is a vertical line with undefined slope. Every point (7,y) where y is any real number, lies on the same line.
What is the difference between undefined slope and zero slope?
A line with an undefined slope is a vertical line. A line with a slope of zero is a horizontal line. If you use the formula for slope m = (y2-y1) divided by (x2-x1)... For an undefined slope you will get zero in the denominator, which you cannot have because you cannot divide by zero. For a slope equal to zero, you will get a zero in the numerator. Zero divided by any non-zero denominator, will give you a slope of zero.
What happens when the slope is 3 over 0?
When the slope is 3 over 0, it indicates a vertical line. In mathematical terms, a slope of 3 over 0 is considered undefined because division by zero is undefined in mathematics. This means that the line is vertical and does not have a defined slope in the traditional sense. The equation of a vertical line can be represented as x = a, where 'a' is the x-coordinate of any point on the line.
If the equation of a line has an undefined slope and passes through the point 1 3 which form would be used to write the equation of the line?
x = 1 (the line intersects the x-axis at 1, and is parallel to the y-axis)We cannot write the equation on the Slope-intercept form, since the slope of the line is undefined. 1 is the x-coordinate of any point on the given line.
What type of line has a defined slope?
Any continuous line as long as it does not have a vertical section.
