Find the distance between $\left( \frac { 3 } { 4 } , 4 \right)$ and $\left( \frac { 3 } { 4 } , - 8 \right)$ .
A) 4
B) 24
C) $12 \frac { 3 } { 4 }$
D) 12
E) $4 \frac { 3 } { 4 }$

Question

Quizplus · Accepted Answer

The distance between two points $(x_1, y_1)$ and $(x_2, y_2)$ in a plane is given by the formula $\sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2}$. Here, since the x-coordinates are the same ($\frac{3}{4}$), the distance is simply the difference in y-coordinates: $|4 - (-8)| = |4 + 8| = 12$.

Find the Distance Between (34,4)\left( \frac { 3 } { 4 } , 4 \right)(43​,4)

Find the Distance Between $\left( \frac { 3 } { 4 } , 4 \right)$