Which of the following equations represents a line with a slope of 2?

To determine which equation represents a line with a slope of 2, we can look closely at the format of each given equation. The typical slope-intercept form of a linear equation is expressed as ( y = mx + b ), where ( m ) represents the slope and ( b ) is the y-intercept.

In the equation provided as the correct answer, ( y = 2x + 1 ), the coefficient of ( x ) is 2, indicating that the slope of this line is indeed 2. This means that for every unit increase in ( x ), ( y ) increases by 2 units, which directly aligns with the definition of a slope of 2.

Considering the other equations:

• In ( y = x + 2 ), the slope is 1, meaning the line rises by 1 unit for every 1 unit increase in ( x ).

• In ( y = -2x + 3 ), the slope is -2, indicating that the line decreases by 2 units for every 1 unit increase in ( x ).

• In ( y = 3x - 2 ), the slope is 3, showing a rise of 3