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a line is perpendicular to y=4x-2 and intersects the point (4,-11). what is the equation of this perpendicular line?

User Sambit
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1 Answer

4 votes

Answer:

y = -1/4x - 10

Explanation:

Hey there!

Well to the slopes of 2 perpendicular lines are reciprocals of each other meaning if the line has a slope of 4 then it’s perpendicular line has a slope of -1/4.

Now to find the y intercept we need to graph,

y = -1/4x and point (4, -11)

Look at the image below.

By looking at the image below we can tell that in order for the perpendicular line to go through point (4,-11) it would be -10.

The equation is y = -1/4x - 10

Hope this helps :)

a line is perpendicular to y=4x-2 and intersects the point (4,-11). what is the equation-example-1
User Jbofill
by
5.3k points