What is the slope-intercept form of the line with a slope of 2 and a y-intercept of -4?

The slope-intercept form of a line is represented by the equation ( y = mx + b ), where ( m ) stands for the slope and ( b ) represents the y-intercept. In this case, the slope is given as 2, which means that for every unit increase in ( x ), the value of ( y ) increases by 2 units. The y-intercept is stated to be -4, indicating that the line crosses the y-axis at the point (0, -4).

Substituting these values into the slope-intercept form equation, we get:

[ y = 2x - 4 ]

This aligns perfectly with the required slope and y-intercept, confirming that the line rises steeply due to the positive slope and intersects the y-axis at -4. Thus, the answer accurately reflects the correct formulation of the line's equation based on the provided slope and y-intercept.