The

**slope**of a horizontal line. A horizontal line has**slope 0**because all its points have the same y-coordinate. As a result, the formula used for**slope**evaluates to**0**.So, can a slope be zero?

Since we did not have a change in the x values, the denominator of our

**slope**became**0**. This means that we have an undefined**slope**. If you were to graph the line, it would be a vertical line, as shown above.1

## What is the slope of the line y 2?

y = m*x + b where m is the slope and b the y-intercept (the value of y where the line crosses the y -axis)

.

y = -2.

.

y = -2.

**m = 0**and the y-intercept is -2 (as the line is parallel to the x-axis, there is no x-intercept)2

## What does the M stand for in Y MX B?

In the equation of a straight line (when the equation is written as "

**y**=**mx**+**b**"), the slope is the number "m" that is multiplied on the x, and "**b**" is the**y**-intercept (that is, the point where the line crosses the vertical**y**-axis). This useful form of the line equation is sensibly named the "slope-intercept form".3

## Can a function have two y intercepts?

A graph

**can have**many**intercepts**, one**intercept**, or no**intercepts**. If the graph is the graph of a**function**then it has at most one -**intercept**, since the graph of a**function**must pass the vertical line test and the**y**-axis is one such vertical line.4

## What is the meaning of undefined in math?

**Undefined**. An expression in

**mathematics**which does not have meaning and so which is not assigned an interpretation. For example, division by zero is

**undefined**in the field of real numbers. SEE ALSO: Ambiguous, Complex Infinity, Directed Infinity, Division by Zero, Ill-Defined, Indeterminate, Well-Defined.

5

## How do you find the slope and y intercept of a line?

The

**equation**of any straight**line**, called a linear**equation**, can be written as:**y**= mx + b, where m is the**slope**of the**line**and b is the**y**-**intercept**. The**y**-**intercept**of this**line**is the value of**y**at the point where the**line**crosses the**y**axis.6

## How does a graph fail the vertical line test?

To use the

**vertical line test**, take a ruler or other straight edge and draw a**line**parallel to the y-axis for any chosen value of x. If the**vertical line**you drew intersects the**graph**more than once for any value of x then the**graph**is not the**graph**of a function.7

## Can a slope have a zero in the numerator?

That means the change in y, which is the

**numerator**of the**slope**formula would be -2 - (-2) =**0**.**Having 0**in the**numerator**and a non-**zero**number in the denominator means only one thing. The**slope**equals**0**. Now let's look at the y-intercept.8

## What is the equation of a horizontal line?

Horizontal lines have a slope of 0. Thus, in the slope-intercept equation y = mx + b, m = 0. The equation becomes y = b, where b is the y-coordinate of the

**y-intercept**. Since y always takes the value -1, an equation for the line is y = - 1.9

## What do you do if the slope is 0?

Mathwords:

**Zero Slope**. The**slope**of a horizontal line. A horizontal line has**slope 0**because all its points have the same y-coordinate. As a result, the formula used for**slope**evaluates to**0**.10

## What line has a undefined slope?

Mathwords: Undefined Slope. The "slope" of a

**vertical**line. A**vertical**line has undefined slope because all points on the line have the same x-coordinate. As a result the formula used for slope has a denominator of 0, which makes the slope undefined..11

## How do you find an undefined slope?

A vertical line has

**undefined**, or infinite,**slope**. If you attempt to find the**slope**using rise over run or any other**slope**formula, you will get a 0 in the denominator. Since division by 0 is**undefined**, the**slope**of the line is**undefined**. The equation of a line with**undefined slope**will**look**like x = 'something.'12

## What is the definition of zero slope?

A

**zero slope**is just the**slope**of a horizontal line! The y-coordinate never changes no matter what the x-coordinate is! In this tutorial, learn about the meaning of**zero slope**.13

## What are undefined slope?

An

**undefined slope**(or an infinitely large**slope**) is the**slope**of a vertical line! The x-coordinate never changes no matter what the y-coordinate is! There is no run!14

## What is the definition of run in math?

**Run**. more How far a line goes along (for a given distance going up). Rise/

**Run**(Rise divided by

**Run**) gives us the slope of the line.

15

## How do you know when a slope is steep?

When you look at the two lines, you can see that the blue line is steeper than the red line. It makes sense the value of the

**slope**of the blue line, 4, is greater than the value of the**slope**of the red line, . The greater the**slope**, the steeper the line. The next example shows a line with a negative**slope**.16

## Can you have a negative slope?

**Negative Slope**. If a line has a positive

**slope**(i.e. m > 0), then y always increases when x increases and y always decreases when x decreases. Thus, the graph of the line starts at the bottom left and goes towards the top right.

17

## How can a slope be 0?

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**. The equation of a line with**zero slope will**not have an x in it. It**will**look like 'y = something.'18

## Why is 0 0 undefined?

In ordinary arithmetic, the expression has no meaning, as there is no number which, multiplied by

**0**, gives a (assuming a≠**0**), and so division by zero is**undefined**. Since any number multiplied by zero is zero, the expression**0**/**0**also has no defined value; when it is the form of a limit, it is an indeterminate form.19

## What is 5 divided by 0?

When something is divided by 0, why is the answer undefined? The reason is related to the associated multiplication question. If you divide

**6**by 3 the answer is 2 because 2 times 3 IS**6**. If you divide**6**by zero, then you are asking the question, "What number times zero gives**6**?"