49.8k views
0 votes
Find the distance between the parallel line y = 2x + 7 y = 2x - 2

User INyar
by
7.7k points

1 Answer

1 vote

A line is represented by the following expression:


\begin{gathered} y=mx+b \\ \text{where,} \\ m=\text{slope} \\ b=y-\text{intercept} \end{gathered}

Since they are parallel because they have the same slope, we can find the distance between them with the formula for distance between points:


\begin{gathered} y=2x+7 \\ y=2(1)+7 \\ y=9 \\ \text{Point for the first line (1,9)} \\ \\ y=2x-2 \\ y=2(1)-2 \\ y=0 \\ \text{Point for the second line (1,0)} \end{gathered}

Distance between points is represented by the following expression:


d=\sqrt[]{(x_2-x_1)^2+(y_2-y_1)}^2
\begin{gathered} d=\sqrt[]{(1-1)^2+(9-0)^2} \\ d=\sqrt[]{9^2} \\ d=9\text{ units} \end{gathered}

The distance between the lines is 9 units.

User Adam Hyland
by
7.7k points

No related questions found

Welcome to QAmmunity.org, where you can ask questions and receive answers from other members of our community.

9.4m questions

12.2m answers

Categories