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+10\textrm{ },\textrm{ }y=2x+7\end{equation}

2.

Identify whether following lines are parallel or perpendicular or neither.

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

3.

Identify whether following lines are parallel or perpendicular or neither.

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

4.

Identify whether following lines are parallel or perpendicular or neither.

\begin{equation}y=3x+10\textrm{ },\textrm{ }y=\frac{-1}{3} \times x+10\end{equation}

5.

Identify whether following lines are parallel or perpendicular or neither.

\begin{equation}5x-y=2\textrm{ },\textrm{ }x+5y=4\end{equation}

6.

Identify whether following lines are parallel or perpendicular or neither.

\begin{equation}10x+2y=10\textrm{ },\textrm{ }2x-10y=5\end{equation}

7.

Identify whether following lines are parallel or perpendicular or neither.

\begin{equation}5x+3y=2\textrm{ },\textrm{ }6x+4y=10\end{equation}

8.

Identify whether following lines are parallel or perpendicular or neither.

\begin{equation}\textrm{line passing through the points }( 5, 3 )\textrm{ and }( -1, 5 )\end{equation}\begin{equation}\textrm{line passing through the points }( 10, 6 )\textrm{ and }( -2, 10 )\end{equation}

9.

Identify whether following lines are parallel or perpendicular or neither.

\begin{equation}\textrm{line passing through the points }( 6, 7 )\textrm{ and }( 6, 8 )\end{equation}\begin{equation}\textrm{line passing through the points }( 7, 6 )\textrm{ and }( 8, 6 )\end{equation}

10.

Identify whether following lines are parallel or perpendicular or neither.

\begin{equation}\textrm{line passing through the points }( 9, 3 )\textrm{ and }( 5, 8 )\end{equation}\begin{equation}\textrm{line passing through the points }( 10, 6 )\textrm{ and }( 9, 6 )\end{equation}