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.