bFinal answer:
To find the equation of a line through a given point, plug in the values of the point and the slope into the point-slope form of the equation of a line.
Step-by-step explanation:
To find the equation of a line through a given point that satisfies a given condition, we can use the point-slope form of the equation of a line.
The point-slope form is given by y - y1 = m(x - x1), where (x1, y1) is the given point and m is the slope.
Plugging in the values, we have y - (-5) = -1(x - 2). Simplifying further, we get y + 5 = -x + 2. Rearranging the equation to the general form, we have x + y = -3.