Table of Contents
Can slope be a fraction?
Slopes can be whole numbers or fractions and either positive or negative. All slopes can be converted to a fraction form that tells you how much the line changes in the y direction over how much the line changes in the x direction. This is easy to remember as the phrase ‘rise over run.
What does it mean if the slope is zero?
A slope of zero means that there is a constant relationship between x and y. Graphically, the line is flat; the rise over run is zero.
What is the graph of the line if the slope is zero?
This relationship always holds: a slope of zero means that the line is horizontal, and a horizontal line means you’ll get a slope of zero. (By the way, all horizontal lines are of the form “y = some number”, and the equation “y = some number” always graphs as a horizontal line.)
When can a slope of a line be equal to zero?
The slope of a line can be thought of as ‘rise over run.’ When the ‘rise’ is zero, then the line is horizontal, or flat, and the slope of the line is zero. Put simply, a zero slope is perfectly flat in the horizontal direction.
What do you do when slope is a fraction?
First, plot the point. Next, if the slope is a fraction, move to the right the number of spaces equal to the denominator, and move up (or down, if the slope is negative) the number of spaces equal to the numerator. Plot a point at the spot you end up.
Can slope be simplified?
If you set the rise over the run, you get a fraction that describes the slope. Sometimes this fraction can be further simplified by dividing the numerator and the denominator by their greatest common factor. Divide the numerator by this number. If the result is zero, the simplified slope of the line is also zero.
Is a line with a slope of 0 linear?
A zero slope means there is no change in the y -coordinates as the x -coordinates change, so this is a horizontal line.
Does a straight line have a slope of zero?
The slope of a horizontal line is 0 because the line does not rise at all. In other words, for any two points on the straight line, the change in y-value will always be 0.
Is a zero slope a function?
Yes, a linear function can have a slope of zero.
At which point is the slope of the function equal to zero?
Point B is the minimum point. It is the point with the lowest y-coordinate where the curve has a slope of zero.