SAE Mathematics Practice Exam

The equation of a line in slope-intercept form is represented as \( y = mx + b \), where \( m \) stands for the slope and \( b \) represents the y-intercept. In this scenario, the slope is given as 2, and the y-intercept is given as 4.

To write the equation using the provided slope and y-intercept, we substitute these values into the formula. The slope \( m \) is 2, so we replace \( m \) with 2, and since the y-intercept \( b \) is 4, we replace \( b \) with 4. This gives us the equation:

\[

y = 2x + 4

\]

This represents a line that rises 2 units for every 1 unit it moves to the right, and it crosses the y-axis at 4. Therefore, the equation accurately reflects the given slope and y-intercept, confirming that the correct choice is the one represented as \( y = 2x + 4 \).