What is the slope of the line given by the equation y = -3x + 5?

What is the slope of the line given by the equation y = -3x + 5?

• A. -1
• B. 0
• C. -3
• D. 3

Answer: (C)

The slope of a line in the equation of the form \(y = mx + b\) is represented by the coefficient of \(x\), which is \(m\). In the provided equation \(y = -3x + 5\), the coefficient of \(x\) is \(-3\). This indicates that for every unit increase in \(x\), the value of \(y\) decreases by 3 units, reflecting a steep descent as you move from left to right on the graph. Therefore, the slope of the line is indeed \(-3\). This negative slope signifies that the line slopes downwards as it progresses from left to right. Understanding the slope is crucial as it provides insight into the relationship between the variables \(x\) and \(y\), which is fundamental in graphing linear equations and analyzing their behavior.

The slope of a line in the equation of the form (y = mx + b) is represented by the coefficient of (x), which is (m). In the provided equation (y = -3x + 5), the coefficient of (x) is (-3). This indicates that for every unit increase in (x), the value of (y) decreases by 3 units, reflecting a steep descent as you move from left to right on the graph. Therefore, the slope of the line is indeed (-3). This negative slope signifies that the line slopes downwards as it progresses from left to right. Understanding the slope is crucial as it provides insight into the relationship between the variables (x) and (y), which is fundamental in graphing linear equations and analyzing their behavior.