A straight line cannot have two slopes. A curve, however, might have a different slope at every different point.
can a line have two slopes
Positive 3
one is the negative reciprocal of the other; that is if the slope of one line is 2, the other is -1/2
In geometric terms, a line can have only one slope. if there is more than one slope, it is not a line, it is multiple lines or a second (or higher) order graphical representation of a function in two dimensional space.
a verticla line
can a line have two slopes
If two lines are parallel, they have the same slope.(And if they are perpendicular, the product of their slopes is minus one - unless one line is horizontal and the other vertical.)
Positive 3
Yes it can, but it would not then be a straight line but an angle.
Their slopes are equal.
their slopes are negative reciprocals.
Slopes of perpendicular lines will be opposite reciprocals. This means that the slopes have opposite signs and that one is 1/ the other. For example, 2 and -1/2.
In geometric terms, a line can have only one slope. if there is more than one slope, it is not a line, it is multiple lines or a second (or higher) order graphical representation of a function in two dimensional space.
A line that slopes to the right and up has a positive slope.
Slopes of parallel lines have the same slope (they are changing at the same rate).Slopes of perpendicular lines have slopes that are the negative inverse of each other, that is, their product is -1. (The slope of a vertical line is therefore undetermined, not infinity. There is no slope s that times 0 equals -1.)---Let m1 be the slope of line one and m2 be the slope of line two. Then:If the lines are parallel, then their slopes are equal, so m1 - m2 = 0.If the lines are perpendicular, then their slopes are negative inverses of each other, so= m1 - (-1/m1)= m1 + 1/m1= (m12 + 1)/m1
a verticla line
Two ways to determine if two line segments are perpendicular:1. Determine the angle formed: if the angle made by the two line segments is 90 degrees, then they are perpendicular. This can sometimes be done visually if the graph has grids, but probably not what the question is asking you to do.2. Compare slopes*: if the slopes are negative inverses of each other, they are perpendicular. For example, if the slope of one line is 5, the slope for the other line would need to be -1/5, or -0.2. An easy way to remember, is if the product of the two slopes is -1, they are perpendicular.*Side note: slope is "rise over run", or change in y divided by change in x