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Answer:
3/4
Step-by-step explanation:
First of all, we need to calculate the slope of the line shown. This can be computed as:
where
is the increment along the y-direction
is the increment along the x-direction
We can choose the following two points to calculate the slope of the line shown:
(-3,2) and (0,-2)
And so, the slope of the line shown is
Two lines are said to be perpendicular if the slope of the first line is the negative reciprocal of the slope of the second line:
Using , we find that a line perpendicular to the line shown should have a slope of
−3x + 6 = 5 | -6 (first step is: "subtract 6 from both sides" <span>)
</span>
-3x = 5-6
-3x = -1 | /(-3) (second step is: "<span>divide by (-3) on both sides</span>" <span>)
</span>
<span>
</span>
</span>
-3x = 5-6
-3x = -1 | /(-3) (second step is: "<span>divide by (-3) on both sides</span>" <span>)
</span>
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</span>