The x-coordinate must be the same for all points on the line.
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A vertical line has an undefined slope. If a line is vertical, the horizontal coordinate, commonly known as the x coordinates, must all be the same. If not, the line would not be vertical.
Slope of vertical and horizontal linesThe slope of a vertical line is undefined. This is because any vertical line has a x or "run" of zero. Whenever zero is the denominator of the fraction in this case of the fraction representing the slope of a line, the fraction is undefined. The picture below shows a vertical line (x=1)The slope of a horizontal line is zeroThis is because any horizontal line has a . Y or "rise" of zero. Therefore, regardless of what the run is (provided its' not also zero!), the fraction representing slope has a zero in its numerator. Therefore, the slope must evaluate to zero. Below is a picture of a horizontal line...you can see that it does not have any 'rise' to it.Formula to find the slope of a lineExample 1of the Slope of A lineThe slope of a line through the points (1, 2) and (2, 5) is 3 because every time that the line moves up three (the change in y or the rise) the line moves to the right (the run) by 1.Illustrated Example TwoThe slope of a line going through the point (1,2) and the point (4,3) is 1/3.
0A line with the equation y = -13 is a horizontal line. The slope is zero.If you think of the "y = mx + b" form of a straight line, the 'b' must be -13, and the 'm' must be zero since there is no x term. 'm' is the slope, so the slope is 0.
The slope (rise over run) of one line will be a number (n) or (-n) and the perpendicular line's slope will be the exact opposite. So, for instance, if one line has a slope of 2/3, then a perpendicular line's slope must be -2/3, and vice versa.
if there parallel its -3 but if there perpendicular the other lane must be positive:D