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

The line that passes through (-5,2) and is perpendicular to y+3=2x is

Solution:

Given, line equation is y + 3 = 2x ⇒ 2x – y – 3 = 0  

We have to find a line that is perpendicular to y + 3 = 2x and passing through (-5, 2).

Now, let us find the slope of the given line,  

We know that, slope of a line slope of perpendicular line = -1

Then, 2 slope of perpendicular line = -1

Now, slope of our required line = and it passes through (-5, 2)

We know that, point slope form is

Here in our problem,

Then, line equation

2(y – 2) = -1(x + 5)

2y – 4 = -x – 5

x + 2y + 5 – 4 = 0

Thus the point slope form is

30

step-by-step explanation:

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