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##### Asked by: Arend Tombach

medical health pharmaceutical drugs# What is the slope of a line with no Y intercept?

Last Updated: 13th April, 2020

**line**, such as . This

**slope**of this

**line**is undefined. If the

**line**has

**no x**-

**intercept**, then it never intersects the

**x**-axis, so it (The entire section contains 159words.)

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Likewise, how do you find the slope and y intercept of a line?

The equation of any straight **line**, called alinear equation, can be written as: **y** = mx + b, where m isthe **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.

Furthermore, can a function have no Y intercept? Therefore, it is not possible for a **function** to**have** more than one **y**-**intercept**. This**function** never crosses the **y**-axis because, since you**can**'t divide by zero, it is undefined at **x**=0. Infact, **any** time a **function** is undefined at 0, it**will have no y**-**intercept**.

Subsequently, question is, what happens if the Y intercept is 0?

**If** the denominator of the fraction is **0**,the **slope** is undefined. This **occurs if the x** value isthe same for both points. The graph would be a vertical line andwould indicate that the **x** value stays constant for everyvalue of **y**. **If** the numerator of the fraction is**0**, the **slope is 0**.

What is the Y intercept of an undefined slope?

This means the **slope** is **undefined**. Asshown above, whenever you have a vertical line your **slope** is**undefined**. Now let's look at the **y**-**intercept**.Looking at the graph, you can see that this graph never crosses the**y**-axis, therefore there is no **y**-**intercept**either.