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Which graph best represent a line perpendicular to the line of the equation y= -1/3x - 7 ?

Which Graph Best Represent A Line Perpendicular To The Line Of The Equation Y 13x 7 class=

Sagot :

The equation of the given line is

[tex]y=-\frac{1}{3}x-7[/tex]

Where: The slope is -1/3

Perpendicular lines have additive reciprocal slopes which means if the slope of one of them is m, then the slope of the other is -1/m

Then the slope of the perpendicular line to the given line is 3

So, we have to look for the graph of positive slope

The graphs of A and D have positive slopes because the directions of the lines are increasing from left to right

Then we have to find the slope of each line to find the correct choice

Since the slope of the line is 3, then the y part increases 3 units for 1 part increases of x

We can see that in graph A

The answer is A

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