1. The problem asks us to find the equation of a line in slope-intercept form given the slope and a point on the line.
2. The slope-intercept form of a line is given by the formula:
$$y = mx + b$$
where $m$ is the slope and $b$ is the y-intercept.
3. We are given the slope $m = -1$ and a point $(-16, 13)$ that lies on the line.
4. Substitute the slope and the coordinates of the point into the equation to solve for $b$:
$$13 = (-1)(-16) + b$$
5. Simplify the right side:
$$13 = 16 + b$$
6. Solve for $b$ by subtracting 16 from both sides:
$$b = 13 - 16 = -3$$
7. Now that we have $b = -3$, write the equation of the line:
$$y = -1x - 3$$
8. Simplify the equation:
$$y = -x - 3$$
Final answer: $$y = -x - 3$$
Line Equation 241Ed1
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