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What is the slope of the perpendicular line?
y = 2x - 6​

1 Answer

4 votes

Answer:

`2

Explanation:

The equation y = 2x -6 is in the standard format of y = mx + b, where m is the slope and b the y-intercept (the value of y when x = 0).

This is not a perpendicular line that is 90 degrees going straight up and down. It is a sloped line that is headed up as x increases. The slope is 2 (from the 2x). The attached graph illustrates the line. A slope of 2 means that y increase by 2 for every x increase of 1.

The yellow line shows the location of the y-intercept, at (0,-6), which comes from the b (-6) in the equation. The change in y between the points (3,0) and (6,6) show that the slope is 2, since when x changed by 3, a change in y of 6 is observed. The ratio of the changes in y/x is the slope [(6/3) = 2].

What is the slope of the perpendicular line? y = 2x - 6​-example-1
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User Erson
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