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. -5
• B. -3
• C. 3
• D. 5

Answer: (B)

The slope of a line in the slope-intercept form of an equation, typically expressed as \( y = mx + b \), is represented by the coefficient of \( x \). In the equation \( y = -3x + 5 \), the term associated with \( x \) is \(-3\). This indicates that for each unit increase in \( x\), the value of \( y\) decreases by \( 3\). Therefore, the slope of the line is \(-3\). This negative slope signifies that the line descends from left to right on a graph. Understanding how to identify the slope from the slope-intercept form is crucial for analyzing linear relationships in various mathematical contexts.

The slope of a line in the slope-intercept form of an equation, typically expressed as ( y = mx + b ), is represented by the coefficient of ( x ). In the equation ( y = -3x + 5 ), the term associated with ( x ) is (-3). This indicates that for each unit increase in ( x), the value of ( y) decreases by ( 3). Therefore, the slope of the line is (-3). This negative slope signifies that the line descends from left to right on a graph. Understanding how to identify the slope from the slope-intercept form is crucial for analyzing linear relationships in various mathematical contexts.