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 .

Using, for example, the points (7,-2) and (7,9) as our starting points, let's attempt to calculate the slope using the following equation:

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

Now let's replace the numbers with the variables:

#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.

By signing up, you agree to our Terms of Service and Privacy Policy

Answer 2

Isaiah Anthony

The slope of the line represented by the equation y = 7 is 0.

By signing up, you agree to our Terms of Service and Privacy Policy

Answer from HIX Tutor

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.