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

The equation of a line is typically expressed in the slope-intercept form, which is written as (y = mx + b). In this format, (m) represents the slope of the line, and (b) represents the y-intercept, which is the point where the line crosses the y-axis.

In this specific question, we are looking for a line with a slope of 2 and a y-intercept of 3. By substituting these values into the slope-intercept form of the equation, we get:

• The slope (m = 2)

• The y-intercept (b = 3)

Thus, the equation can be written as:

[y = 2x + 3]

This matches with the first option provided. It is important to recognize that none of the other choices correctly match the specified slope and y-intercept. For example, the second option has a different slope (3) and y-intercept (2), while the third and fourth options have incorrect signs or values altogether, which strays from the requested slope and intercept. Therefore, the choice that accurately represents the line with the required characteristics is the first option: (y = 2x + 3