Question

find the distance between the pair of parallel lines with the given equations.
y = 7
y = -1
a) 9 units
b) 8 units
c) $sqrt{63}$ or about 7.94 units
d) $sqrt{65}$ or about 8.06 units

Explanation:

Step1: Identify the y - coordinates

The equations of the lines are $y = 7$ and $y=-1$. The y - coordinates of points on these lines are 7 and - 1 respectively.

Step2: Calculate the distance

The distance $d$ between two horizontal lines (since the lines $y = 7$ and $y=-1$ are horizontal) is given by the absolute - value of the difference of their y - coordinates. So $d=\vert7-(-1)\vert$.
$d=\vert7 + 1\vert=\vert8\vert = 8$.

Answer:

B. 8 units