Maths-

General

Easy

Question

# Write an equation of a line that passes through the given line and is perpendicular to the given line.

Hint:

- Perpendicular lines are lines that intersect at a right angle

## The correct answer is: y = -2x + 2.

- We have to write an equation of a line that passes through the given line and is perpendicular to the given line.

Step 1 of 1:

We have to find a line passes through a point (-2, 6) and perpendicular to a line y = 0.5x - 3

Since product of two perpendicular lines is equal to -1.

So,

m × 0.5 = -1

m = -2

Therefore the equation of the line will be

y - 6 = -2(x + 2)

y = -2x + 2.

m = -2

Therefore the equation of the line will be

y = -2x + 2.

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