# Find the slope of the following equation: -3 + 4x = 5x + 11 a. -14 b. 0 c. 1 d. undefined slope

*print*Print*list*Cite

### 2 Answers

To find the slope of the equation `-3 + 4x = 5x + 11` first rewrite in slope intercept form.

Slope-intercept form `y = mx + b` is where (x, y) represents points on line, *m* represents the slope, and *b* represents the y-intercept.

However, if we shifted everything to the right for mx + b, we have no y.

We'd have `0 = x + 14` or `x = -14`

This represents a vertical line at x = -14. There is no defined slope for vertical lines as division by zero is undefined.

**The solution would be choice d: undefined slope.**

First you must have the equation in the slope intercept form;

`y = mx+c`

But there is no y component in the given equation.

`-3 + 4x = 5x + 11`

That means there is no dependant variable in the function. It is just a equation with one variable. So we cannot define a slope here.

*The answer is d.*

**Sources:**