Find the equation of the line that contains the point (4, - 2) and is perpendicular to the line y = - 2x + 5.

Mathematics

2 answers:

Licemer1 [7]2 years ago

5 0

<h3>Answer:</h3>

y=1/2x

<h3>Solution:</h3>

The slopes of perpendicular lines are opposite reciprocals of each other.
The simplest way to determine a number's reciprocal is to flip it over, like so:
$-2 ~ - > -\displaystyle\frac{1}{2}$
Now, change the sign:
$\displaystyle\frac{1}{2}$
So we have the <em>slope </em>of the line that's <em>perpendicular </em>to the given line.
Now, let's find the line's equation.
First, let's write it in Point-Slope Form:
y-y1=m(x-x1)
y-(-2)=1/2(x-4)
y+2=1/2x-2 (Point slope)
Now, convert to slope-intercept:
y=1/2x+2-2
y=1/2x

Hope it helps.

Do comment if you have any query.

klasskru [66]2 years ago

3 0

Answer:

y=1/2x

Step-by-step explanation:

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