What is the equation of a line with a slope of 2 and a y-intercept of -3?

The equation of a line can be expressed in the slope-intercept form, which is written as (y = mx + b), where (m) represents the slope and (b) is the y-intercept.

In this case, the slope is given as 2, indicating that for every unit increase in (x), (y) increases by 2 units. The y-intercept is provided as -3, meaning that the line crosses the y-axis at the point (0, -3).

Substituting these values into the slope-intercept form gives:

[ y = 2x - 3 ]

This accurately represents a line that has a slope of 2 and crosses the y-axis at -3. Thus, the correct option reflects the proper relationship between the slope and y-intercept established in the equation.