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Maths-

General

Easy

Question

Write an equation of a line that passes through the given line and is perpendicular to the given line.
$left parenthesis negative 2 comma 6 right parenthesis semicolon space y equals 0.5 x minus 3$

hint 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.

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