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Maths-

General

Easy

Question

Write an equation of the line that passes through the point (4, 5) and is perpendicular to the graph of y = 2x + 3

hint Hint:

A straight line is an endless one-dimensional figure that has no width. It is a combination of endless points joined on both sides of a point.

The correct answer is: y = -1/2x + 7

We have to write an equation of the line that passes through the point (4, 5) and is perpendicular to the graph of 𝑦 = 2𝑥 + 3.

Step 1 of 1:
We have to find a line passes through a point (4, 5) and perpendicular to a line 𝑦 = 2𝑥 + 3.
Since product of two perpendicular lines is equal to -1.
So,
$m cross times 2 equals negative 1$
$m equals fraction numerator negative 1 over denominator 2 end fraction$
Therefore the equation of the line will be
$y minus 5 equals fraction numerator negative 1 over denominator 2 end fraction left parenthesis x minus 4 right parenthesis$
$y equals fraction numerator negative 1 over denominator 2 end fraction x plus 7$

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