Question

Determine if the following equation is horizontal, vertical, neither, or cannot be determined: 3x + 2y = 3x - 4

A. horizontal
B. vertical
C. neither
D. cannot be determined.

Answer 1

The equation 3x + 2y = 3x - 4 represents a horizontal line at y = -2.

Step-by-step explanation:

In mathematics, an equation is a statement that asserts the equality of two expressions. Equations are commonly written with an equal sign (=) between two mathematical expressions. The expressions on either side of the equal sign are referred to as the left-hand side (LHS) and the right-hand side (RHS) of the equation.

The equation 3x + 2y = 3x - 4 can be simplified by subtracting 3x from both sides, resulting in 2y = -4. Dividing both sides by 2, we get y = -2. This equation represents a horizontal line at y = -2, so the answer is horizontal (A).