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: Recall the formula for the distance between two parallel horizontal lines

For two parallel horizontal lines \(y = c_1\) and \(y = c_2\), the distance \(d=\vert c_1 - c_2\vert\).

Step2: Identify \(c_1\) and \(c_2\)

Here, \(c_1 = 7\) and \(c_2=-1\).

Step3: Calculate the distance

\(d=\vert7-(-1)\vert=\vert7 + 1\vert=\vert8\vert = 8\)

Answer:

B) 8 units