Respuesta :

Answer: Graph A correctly represents the linear equation y = −4x − 3.

Step-by-step explanation:

The linear equation y = −4x − 3 represents a line with a slope of -4 and a y-intercept of -3. Let’s explore the graph options:

Graph A:

This graph starts at the point (0, -3) and has a slope of -4.

As we move one unit to the right (from x = 0 to x = 1), we go down 4 units (from y = -3 to y = -7).

The line continues in this manner, maintaining a consistent slope of -4.

Graph B:

This graph also starts at the point (0, -3).

As we move one unit to the right (from x = 0 to x = 1), we go up 4 units (from y = -3 to y = 1).

However, this slope is positive, which contradicts the equation.

Graph C:

This graph does not match the equation y = −4x − 3.

It appears to be a different linear equation.

Given the information, Graph A correctly represents the linear equation y = −4x − 3.