Decide if the two lines y = -x + 8 and y = 6x – 7 are parallel, perpendicular, or neither. Explain your answer.

In order to have parallel lines, the slopes need to be equal, and to have perpendicular lines, the slopes must be negative reciprocals of each other:
[tex]m_2=-\frac{1}{m_1_{}}[/tex]Comparing the equations with the slope-intercept form of the linear equation (y = mx + b, m is the slope), we have m1 = -1 and m2 = 6.
Since the slopes are different and they don't obey the relation to perpendicular lines, therefore the answer is neither.