Question

What is the slope of the line represented by the equation y = 7?

Answer 1

If we tried to find the slope, we would get a number divided by 0. Dividing by 0 is impossible, so the slope is undefined .

Explanation:

Let's say we chose two points on the line, (7,-2) and (7,9) for example. Let's try to find the slope. This is our equation:

`(y_2-y_1)/(x_2-x_1)`

Let's now substitute the variables for numbers:

`y_2=9`
`y_1=-2`
`x_2=7`
`x_1=7`

`(9--2)/(7-7)=11/0`

As you can see, the number (`11`) is divided by 0. We all know that dividing by 0 is impossible. When we have situations like these, we call the slope undefined. Therefore, our slope is undefined.