# In mathematics, a linear function is a function and the graph of a linear function is a straight line. The domain of a linear function is all real numbers, and the range is all real numbers.

#### Topics

No Related Subtopics

### Discussion

You must be signed in to discuss.

### Recommended Quiz

#### Algebra

Create your own quiz or take a quiz that has been automatically generated based on what you have been learning. Expose yourself to new questions and test your abilities with different levels of difficulty.

### Video Transcript

we're being asked to solve the given equation. So we have Negative. 23 is equal to nine minus for X. So remember, the first thing we don't need to do in order to isolate are variable is moved the term that's not attached to our X. So in other words, we wanna move that positive nine over to the left hand side. Well, what's the opposite of adding nine to negative four X? Well, that would be to subtract nine. So we're gonna go ahead and subtract nine from both sides of our equation on. We know this is the right thing to do because nine minus nine is zero. So these first terms will cancel out. So on the left hand side, we have negative 23 minus nine, which is negative 32. And on the right hand side, we just have negative four X. So now we just have a one step equation. Well, X is gonna multiplied by negative four. So the opposite is to divide both sides of our equation by negative four again. The reason why, because negative four, divided by negative four is equal a positive one. So these terms cancel so on the left hand side, we have negative 32 divided by negative four. Well, that's going to be positively and on the right hand side, which was left with X. So now we've solved our equation. So have found that eight is equal to X, and it's perfectly fine to leave your answer like this. Or you can flip this around and say that X is equal to positive. Eight. Either way is perfectly fine.

Syracuse University