Algebra-1 Problems

7.8 Parallel and Perpendicular Lines
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1.

Identify whether following lines are parallel or perpendicular or neither.

\begin{equation}y=2x+4\textrm{ },\textrm{ }y=2x+8\end{equation}

2.

Identify whether following lines are parallel or perpendicular or neither.

\begin{equation}x+4y=10\textrm{ },\textrm{ }x+4y=8\end{equation}

3.

Identify whether following lines are parallel or perpendicular or neither.

\begin{equation}x+9y=3\textrm{ },\textrm{ }x+9y=5\end{equation}

4.

Identify whether following lines are parallel or perpendicular or neither.

\begin{equation}y=3x+8\textrm{ },\textrm{ }y=\frac{-1}{3} \times x+8\end{equation}

5.

Identify whether following lines are parallel or perpendicular or neither.

\begin{equation}10x-y=7\textrm{ },\textrm{ }x+10y=5\end{equation}

6.

Identify whether following lines are parallel or perpendicular or neither.

\begin{equation}7x+8y=9\textrm{ },\textrm{ }8x-7y=7\end{equation}

7.

Identify whether following lines are parallel or perpendicular or neither.

\begin{equation}2x+3y=2\textrm{ },\textrm{ }4x+2y=8\end{equation}

8.

Identify whether following lines are parallel or perpendicular or neither.

\begin{equation}\textrm{line passing through the points }( 0, 5 )\textrm{ and }( 6, -2 )\end{equation}\begin{equation}\textrm{line passing through the points }( 0, 15 )\textrm{ and }( 18, -6 )\end{equation}

9.

Identify whether following lines are parallel or perpendicular or neither.

\begin{equation}\textrm{line passing through the points }( 10, 6 )\textrm{ and }( 3, 6 )\end{equation}\begin{equation}\textrm{line passing through the points }( 6, 3 )\textrm{ and }( 6, 10 )\end{equation}

10.

Identify whether following lines are parallel or perpendicular or neither.

\begin{equation}\textrm{line passing through the points }( 4, 10 )\textrm{ and }( 6, 9 )\end{equation}\begin{equation}\textrm{line passing through the points }( 5, 3 )\textrm{ and }( 5, 3 )\end{equation}