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=7x+8\textrm{ },\textrm{ }y=7x+5\end{equation}

2.

Identify whether following lines are parallel or perpendicular or neither.

\begin{equation}x+7y=2\textrm{ },\textrm{ }x+7y=3\end{equation}

3.

Identify whether following lines are parallel or perpendicular or neither.

\begin{equation}x+3y=1\textrm{ },\textrm{ }x+3y=9\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=6\textrm{ },\textrm{ }x+5y=8\end{equation}

6.

Identify whether following lines are parallel or perpendicular or neither.

\begin{equation}5x+6y=2\textrm{ },\textrm{ }6x-5y=8\end{equation}

7.

Identify whether following lines are parallel or perpendicular or neither.

\begin{equation}5x+8y=4\textrm{ },\textrm{ }7x+4y=8\end{equation}

8.

Identify whether following lines are parallel or perpendicular or neither.

\begin{equation}\textrm{line passing through the points }( -2, 2 )\textrm{ and }( 1, -3 )\end{equation}\begin{equation}\textrm{line passing through the points }( -6, 6 )\textrm{ and }( 3, -9 )\end{equation}

9.

Identify whether following lines are parallel or perpendicular or neither.

\begin{equation}\textrm{line passing through the points }( 9, 10 )\textrm{ and }( 4, 7 )\end{equation}\begin{equation}\textrm{line passing through the points }( 10, 4 )\textrm{ and }( 7, 9 )\end{equation}

10.

Identify whether following lines are parallel or perpendicular or neither.

\begin{equation}\textrm{line passing through the points }( 2, 8 )\textrm{ and }( 3, 8 )\end{equation}\begin{equation}\textrm{line passing through the points }( 6, 3 )\textrm{ and }( 8, 8 )\end{equation}