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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.
$left parenthesis 1 comma 7 right parenthesis semicolon space x minus 4 y equals 8$

hint Hint:

Perpendicular lines are lines that intersect at a right angle

The correct answer is: y = -4x + 11.

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 (1, 7) and perpendicular to a line x - 4y = 8
Since product of two perpendicular lines is equal to -1.
So,
$m cross times 1 fourth equals negative 1$
m=-4
Therefore the equation of the line will be
y - 7 = -4(x - 1)
y = -4x + 11.

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