Zero Slope Definition Math

As a result the formula used for slope evaluates to 0.

Zero slope definition math. In this tutorial learn about the meaning of zero slope. Ccss math content 8 ee b 5 graph proportional relationships interpreting the unit rate as the slope of the graph. It does not increase or decrease. Notice that for every increase of one unit to the right along the horizontal x axis the line moves down a half unit.

In the figure above press reset. A vertical line has undefined slope because between any two points there is no run. The y coordinate never changes no matter what the x coordinate is. Every point on the line y 2 has a y coordinate of 2.

For example compare a distance time graph to a distance time equation to determine which of two moving objects has greater speed. The slope of a horizontal line. Compare two different proportional relationships represented in different ways. The slope of a line also called the gradient of a line is a number that describes how steep it is.

Slope intercept form an equation of a line in the form y mx b where m is the slope and b is the y intercept. Slope y 2 y 1 x 2 x 1 2 2 2 1 0 1 0. Parallel to the x axis. Definition of a zero slope a line with zero slope is perfectly flat in the horizontal direction.

For other vertical lines y c the y coordinates will always be c. No matter what value of x you have you get the same y value. So no matter which two points we pick we will end up with zero in the numerator when applying the slope formula. A zero slope is just the slope of a horizontal line.

A slope is undefined if you neither move to the right nor to the left. Instead you are dealing with a vertical line where the possibility is to either go up or down. It therefore has a slope of 0 5. A line with zero slope is horizontal because it has no rise between any two points.