Determine whether the two given lines are perpendicular.
-$$7 x + 9 y = 73$$
A) $\frac { 7 } { 9 } ; \left( 0 , \frac { 73 } { 9 } \right)$

B) $- \frac { 2 } { 7 } ; \left( 0 , \frac { 9 } { 73 } \right)$

C) $- \frac { 7 } { 9 } ; \left( 0 , \frac { 73 } { 9 } \right)$

D) $\frac { 2 } { 7 } ; \left( 0 , \frac { 9 } { 73 } \right)$

Question

Determine whether the two given lines are perpendicular.
-$$7 x + 9 y = 73$$
A) $\frac { 7 } { 9 } ; \left( 0 , \frac { 73 } { 9 } \right)$

B) $- \frac { 2 } { 7 } ; \left( 0 , \frac { 9 } { 73 } \right)$

C) $- \frac { 7 } { 9 } ; \left( 0 , \frac { 73 } { 9 } \right)$

D) $\frac { 2 } { 7 } ; \left( 0 , \frac { 9 } { 73 } \right)$

Quizplus · Accepted Answer

To determine if two lines are perpendicular, we need to check if their slopes are negative reciprocals of each other. The given line can be rewritten in slope-intercept form as $y = -\frac{7}{9}x+\frac{73}{9}$, so its slope is $-\frac{7}{9}$. The equation of the line perpendicular to this line must have a slope that is the negative reciprocal of $-\frac{7}{9}$, which is $\frac{9}{7}$. The only choice with a slope of $-\frac{7}{9}$ and another slope of $\frac{9}{7}$ as options for the equation of the perpendicular line is choice C.

Determine Whether the Two Given Lines Are Perpendicular 7x+9y=737 x + 9 y = 737x+9y=73

Determine Whether the Two Given Lines Are Perpendicular $7 x + 9 y = 73$