The slopes that could have be plotted on the coordinate grid are -7 and 1/7
Before we determine the required slope of the two lines, we must understand that:
- Two lines are perpendicular if the product of their slope is -1
- if the slope of a line is m, the slope of the line perpendicular will be -1/m
So, we choose the options that the product of the slopes equals -1
For option A:
[tex]product = 2 \times 1/2\\product = 1[/tex]
Hence option A is incorrect
For option B;
[tex]product = 4 \times - 4 = -16\\[/tex]
Hence option B is incorrect
For option C.
[tex]product = 1/3 \times 1/3\\product = 1/9[/tex]
Hence option C is incorrect
For option D;
[tex]product = -7 \times 1/7\\product = -1[/tex]
This shows that the slopes that could have been plotted on the coordinate grid are -7 and 1/7
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