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a line is perpendicular to y= "-2x+5" and intersects at the point (-4,2). what is the equation of this perpendicular line

User Nacorid
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1 Answer

3 votes

Answer:

y=(1/2)x-1

Explanation:

Since you know that this line is perpendicular to the given equation, you also know that the slope of the line will be the opposite reciprocal to that of the given equation. Therefore:

slope= 1/2

Now, since you also know that the lines intersect at the point (-4,2), you just have to plug these numbers into the x and y in the equation to solve for b.

(2)=(1/2)(-4)+b

b=-1

Therefore, the equation is

y=(1/2)x-1

User Lirik
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