Question

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

Answer 1

y=1/2x

Explanation:

Answer 2

y=1/2x

Solution:

• 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(1)/(2)`
• Now, change the sign:
• 
  `\displaystyle(1)/(2)`
• So we have the slope of the line that's perpendicular 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.

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