Tell whether the graphs of the pair of equations are parallel, perpendicular, or neither. $5 x + 8 y = 9$ $8 x - 5 y = 7$
A) perpendicular
B) neither
C) parallel

Question

Quizplus · Accepted Answer

We can rewrite both equations in slope-intercept form as $y = -\frac{5}{8}x + \frac{9}{8}$ and $y = \frac{8}{5}x - \frac{7}{5}$. The slopes of the two lines are negative reciprocals of each other ($-\frac{5}{8}$ and $\frac{8}{5}$), indicating that the lines are perpendicular.

Tell Whether the Graphs of the Pair of Equations Are 5x+8y=95 x + 8 y = 95x+8y=9

Tell Whether the Graphs of the Pair of Equations Are $5 x + 8 y = 9$