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