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The slopes of vertical lines and the results of divisions by 0 do not exist because there are multiple answers. A line that is vertical can have a slope of infinity or negative infinity. Same with division by zero. Picture the graph 1/x. As the graph approaches zero from the left, it goes toward negative infinity, then jumps to positive infinity. There are two answers, and neither of them are real numbers. The limits do exist though. The limit of 1/x as x approaches zero from the left is negative infinity. and the limit as it approaches the right is positive infinity.
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What is the difference between a line that has a zero slope and a line that has a undefined slope?
zero is horizontal, undefined is vertical
The slope of every vertical line is?
The slope of any vertical Line is undefined because anything divided by zero is undefined.
Why the slope of a vertical line is referred to as undefined?
Because slope is defined as change in y over change in x, for a vertical line your change in x is zero. Dividing by zero gives an undefined answer.
Why cant equations of vertical lines be written in slope-intercept form but equations of horizontal lines can?
For vertical lines, when you try to figure out the slope, you get zero in the denominator - in other words, a division by zero.
The slope is a horizontal line is?
The slope of a horizontal line is zero. It has a slope, but slope = 0 and this makes it different from a vertical line which has a slope that is undefined because you cannot divide 0 over 0 which is how much a vertical line rises and runs.Ways to find slope:(y2-y1)/(x2-x1 )orrise/run
