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.
The slope of a line on a graph can be zero, or any positive or negative real whole number or fraction or decimal.
Points: (1, -2) and (3, -5) Slope: -3/2
The line perpendicular to a line with a slope of 1/5 has a slope of -5.
-2
Why not? m=4/3 is a perfectly good slope
To find the slope of a perpendicular line, take the negative reciprocal of the slope of the given line. (Flip the top and bottom of the fraction and change the sign.) The slope of 3 can be written as 3/1. The slope of a line that is perpendicular is -1/3.
A vertical line does not have a defined slope. If you think of slope as a fraction, it would be dividing by zero, which doesn't work. So, basically, no solution
It is simply the arctan transformation of the fraction.
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.
The same rules apply but it might help if you turn the fraction into a decimal.
The slope can be a fraction.
1/2 on apex!
The slope of a line on a graph can be zero, or any positive or negative real whole number or fraction or decimal.
Points: (1, -2) and (3, -5) Slope: -3/2
To find the slope of a perpendicular line, take the negative reciprocal of the slope of the given line. (Flip the top and bottom of the fraction and change the sign.) The slope of a line that is perpendicular to a line with a slope of -2/3 is 3/2, (or 11/2 or 1.5).
The slope is the rise/over run of a line. The equation of a line is usually written in the form y=mx+b where m is the slope and b is the y-intercept. To find the slope, you can take two points on a line, find how much the line goes up (or down) between the two, and divide it by how much the lines moves to the right. Usually the slope is left in the simplest fraction form.