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iren [92.7K]
2 years ago
10

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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