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.
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Undefined slope is when a line is exactly on the y-axis, for reasons unknown, the slope of a line on the y-axis cannot be determined, so therefore it it "undefined." A line with no slope is a line with a slope of zero. In order for a line to have a slope of zero, it must be directly on the x-axis, meaning it is horizontal. Horizontal lines are straight and have no slope
a vertical line has an undefined slope, while a horizontal slope has a slope of zero.
The slope of a line between Points 1 and 2 is defined as m = (Y2 - Y1) / (X2 - X1) where coordinates for Point 1 is (X1,Y1) and Point 2 is (X2,Y2). So if the value of Y2-Y1 = 0 then the Slope is zero. If the value of X2 - X1 = zero then the equation is undetermined because you can't solve an equation with a 0 value in the denominator. or m = (Y2 - Y1) / 0
The slope is the value of m in which you "rise and run" point units The Y-intercept is the value in which X is zero
Zero is pretty well defined. Division by zero is undefined.