Problem

Determine whether the pair of lines is parallel, perpendicular, or neither. \[ \begin{array}{l} y=9 x-3 \\ 6 y=7-x \end{array} \] Are the graphs of the pair of lines parallel, perpendicular, or neither? Perpendicular Parallel Neither

Solution

Step 1 :Determine whether the pair of lines is parallel, perpendicular, or neither.

Step 2 :The slope of the first line is 9 and the slope of the second line is -1/6.

Step 3 :The product of the slopes is -1.5, which is not equal to -1, so the lines are not perpendicular.

Step 4 :The slopes are also not equal, so the lines are not parallel.

Step 5 :Therefore, the lines are neither parallel nor perpendicular.

Step 6 :Final Answer: The lines are \(\boxed{\text{neither parallel nor perpendicular}}\).

From Solvely APP
Source: https://solvelyapp.com/problems/VnwmI8BnZr/

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