Final answer:
The slope of a line parallel to the line given by x + y = -7 is -1. This is found by converting the equation to slope-intercept form and then identifying the slope of that line.
Step-by-step explanation:
The question asks us to find the slope of a line that is parallel to another line, given by the equation x + y = -7. To find the slope of the line parallel to the given line, we need to rewrite the given equation in the slope-intercept form, which is y = mx + b, where m represents the slope, and b represents the y-intercept. Starting with x + y = -7, we will solve for y.
- Subtract x from both sides of the equation: y = -x - 7.
- Now the equation is in the form y = mx + b, so the slope (m) of this line is -1.
Since parallel lines have the same slope, the slope of a line parallel to the given line will also be -1.