A line has a slope of –2 and a y-intercept of –15. Write its equation in slope-intercept form.

1. ### Break Down the Problem

The equation of a line in slope-intercept form is given by the formula: $y = mx + b$ where $m$ is the slope and $b$ is the y-intercept.

2. ### Relevant Concepts

From the problem, we know:

• Slope $m = -2$
• Y-intercept $b = -15$

3. ### Analysis and Detail

Substituting the values of the slope and y-intercept into the formula: $y = -2x - 15$

4. ### Verify and Summarize

The equation is now in the correct slope-intercept form.

Final Answer

The equation of the line is: $y = -2x - 15$