Final answer:
To find a line perpendicular to y=x+7, determine the slope of the original line and find the negative reciprocal of that slope. The new line would have a slope of -1.
Step-by-step explanation:
To find a line that is perpendicular to the line y=x+7, we need to determine the slope of the original line and then find the negative reciprocal of that slope. The given line has a slope of 1. So, the negative reciprocal slope would be -1.
Therefore, the new line would have a slope of -1 in order to be perpendicular to the line y=x+7.