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dedylja [7]
3 years ago
10

What is the slope of a line perpendicular to the line whose equation is y = 2x+5?

Mathematics
2 answers:
guapka [62]3 years ago
8 0

Answer:

Slope m_{2} = \frac{-1}{2}.

Step-by-step explanation:

Given  :  equation is y = 2x+5.

To find : What is the slope of a line perpendicular to the line.

Solution : We have given y = 2x+5.

On comparing by the slope form of line is

y = mx + b

where, m = slope , b = y-inercept.

So , m_{1} = 2 .

When the two line are perpendicular to each other then thier slope is

m_{2} = \frac{-1}{m_{1}}.

Then plug the value of  m_{1} = 2 .

m_{2} = \frac{-1}{2}.

m_{2} = \frac{-1}{2}.

Therefore, Slope m_{2} = \frac{-1}{2}.

zubka84 [21]3 years ago
4 0

Answer:

slope = - \frac{1}{2}

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

y = 2x + 5 is in this form with slope m = 2

Given a line with slope m then the slope of a line perpendicular to it is

m_{perpendicular} = - \frac{1}{m} = - \frac{1}{2}

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