To find the equation of the line in slope-intercept form (y = mx + b), we start with the slope and the point given.
- The slope (m) is -1.
- The line passes through the point (-5, 3). This means that when x = -5, y = 3.
We can use the point-slope form of the equation of a line first:
where (x_1, y_1) is the point on the line. Plugging in our values:
Next, we simplify it:
So, the equation in slope-intercept form is:
y = -x - 2
The correct response from the options provided is: y = -x - 2 (or "y equals negative x minus 2").