What is the slope of the line represented by \( y = 3x + 2 \)?

What is the slope of the line represented by \( y = 3x + 2 \)?

• A. 1
• B. 2
• C. 3
• D. 4

Answer: (C)

In the equation of the line \( y = 3x + 2 \), the slope is identified by the coefficient of the variable \( x \). This equation is formatted in slope-intercept form, which is expressed as \( y = mx + b \), where \( m \) represents the slope and \( b \) represents the y-intercept of the line. By examining the given equation, you can see that the coefficient in front of \( x \) is 3. This means that for every one unit increase in \( x\), the value of \( y\) increases by 3 units. Therefore, the slope of the line, which indicates how steeply the line rises or falls, is 3. This reasoning shows that the correct answer is accurate, as it directly corresponds to the concept of slope in linear equations.

In the equation of the line ( y = 3x + 2 ), the slope is identified by the coefficient of the variable ( x ). This equation is formatted in slope-intercept form, which is expressed as ( y = mx + b ), where ( m ) represents the slope and ( b ) represents the y-intercept of the line.

By examining the given equation, you can see that the coefficient in front of ( x ) is 3. This means that for every one unit increase in ( x), the value of ( y) increases by 3 units. Therefore, the slope of the line, which indicates how steeply the line rises or falls, is 3.

This reasoning shows that the correct answer is accurate, as it directly corresponds to the concept of slope in linear equations.