Question

For the lines defined by the following equations indicate with a "V" if they are vertical, an "H" if they are horizontal, and an "S" (for slanted) if they are neither vertical nor horizontal. S 3x+4y+5=0

Answer 1

Answer:

The answer is the function 3x+4y+5=0 is Slanted

Step-by-step explanation:

To be able to to know if this function is horizontal, vertical or slanted we should look at the gradient.

If the gradient is zero, then the line is horizontal.

If the gradient is infinite, then the line is vertical.

if not, then the line is slanted

We can look the gradient by the general form equation of a line:

y = mx + c

where y = dependent variable, x = independent variable, m = gradient, c = intercept.

With our equation, we can change things around to get the general form equation:

3x + 4y + 5 = 0

4y = 3x - 5

$y = \frac{3}{4}x - \frac{5}{4}$

Where the gradient is 3/4

Therefore, as the gradient is a number other than zero or infinite, we know that this function is slanted.