To find the equation of the line in slope-intercept form (y = mx + b), we start with the slope and a point. The slope (m) is given as -1, and the point is (-5, 3).
We can use the point-slope form of the equation of a line, which is:
\[ y - y_1 = m(x - x_1) \]
Substituting the values:
- \( m = -1 \)
- \( x_1 = -5 \)
- \( y_1 = 3 \)
The equation becomes:
\[ y - 3 = -1(x + 5) \]
Now, simplify the equation:
\[ y - 3 = -x - 5 \]
Adding 3 to both sides:
\[ y = -x - 5 + 3 \] \[ y = -x - 2 \]
Thus, the equation of the line in slope-intercept form is:
y = -x - 2
So the correct response is:
y = −x − 2.