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

Expert Answers
baxthum8 eNotes educator| Certified Educator

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.

jeew-m eNotes educator| Certified Educator

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.