Which equation represents a line with a slope of -3?

Which equation represents a line with a slope of -3?

• A. y = -3x + 1
• B. y = 3x + 1
• C. y = -x + 3
• D. y = x - 3

Answer: (A)

The equation that represents a line with a slope of -3 is the one that clearly shows this relationship in its standard form, y = mx + b, where m stands for the slope and b represents the y-intercept. In the correct option, the slope is explicitly given as -3, indicating that for every unit increase in x, y decreases by 3 units. This characteristic of slope affects the steepness and direction of the line on a coordinate graph, resulting in a downward slope that corresponds to negative values. The other equations do not reflect a slope of -3. For example, some of them have a positive slope, which would imply that the line rises rather than falls as x increases. Understanding the slope concept is crucial, as it helps determine how lines behave in relation to one another in a plane.

The equation that represents a line with a slope of -3 is the one that clearly shows this relationship in its standard form, y = mx + b, where m stands for the slope and b represents the y-intercept.

In the correct option, the slope is explicitly given as -3, indicating that for every unit increase in x, y decreases by 3 units. This characteristic of slope affects the steepness and direction of the line on a coordinate graph, resulting in a downward slope that corresponds to negative values.

The other equations do not reflect a slope of -3. For example, some of them have a positive slope, which would imply that the line rises rather than falls as x increases. Understanding the slope concept is crucial, as it helps determine how lines behave in relation to one another in a plane.