SOLUTION: Write the equation of a line perpendicular to the line y=-2x-4 that goes through the point(-6,5)

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Question 236575: Write the equation of a line perpendicular to the line y=-2x-4 that goes through the point(-6,5)
Answer by jim_thompson5910(35256)   (Show Source): You can put this solution on YOUR website!

We can see that the equation has a slope and a y-intercept .


Now to find the slope of the perpendicular line, simply flip the slope to get . Now change the sign to get . So the perpendicular slope is .


Now let's use the point slope formula to find the equation of the perpendicular line by plugging in the slope and the coordinates of the given point .


Start with the point slope formula


Plug in , , and


Rewrite as


Distribute


Multiply


Add 5 to both sides.


Combine like terms.


So the equation of the line perpendicular to that goes through the point is .


Here's a graph to visually verify our answer:


Graph of the original equation (red) and the perpendicular line (green) through the point .

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