To find the equation of the line in slope-intercept form (y = mx + b), where m is the slope and b is the y-intercept, we can use the slope and the given point.
Given:
- Slope (m) = -1
- Point (x, y) = (−5, 3)
Using the point-slope form of the equation of a line, which is given by:
\[ y - y_1 = m(x - x_1) \]
Substituting in the values:
\[ y - 3 = -1(x - (-5)) \]
This simplifies to:
\[ y - 3 = -1(x + 5) \]
Distributing the -1:
\[ y - 3 = -x - 5 \]
Adding 3 to both sides:
\[ y = -x - 2 \]
So, the equation of the line in slope-intercept form is:
y = -x - 2
The correct response is:
y = −x − 2.