Which of the following represents the equation of a line with slope 2 and y-intercept 3?

The equation of a line can be expressed in the slope-intercept form, which is given by the formula ( y = mx + b ). In this form, ( m ) represents the slope of the line, and ( b ) represents the y-intercept.

To determine the correct equation, we need to identify the slope and the y-intercept from the options provided. The slope is specified as 2, and the y-intercept is specified as 3.

Looking at the first choice, the equation ( y = 2x + 3 ) clearly has a slope of 2 (the coefficient of ( x )) and a y-intercept of 3 (the constant term). This matches the conditions given in the question perfectly.

In the other choices, the slopes and y-intercepts do not align with the specified values. For instance, the second option shows a slope of 3, and the third option presents a different arrangement that does not meet the requirement for slope or intercept. The fourth option similarly fails to provide the correct slope and intercept.

Thus, the correct answer is the first option, as it accurately represents a line with the required slope of 2 and a y-intercept of 3.