SOLUTION: please help..... find an equation of a line perpendicular to y=3/2x+5 and contains the point(0,0) please show me step by step thank you april

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Question 352953: please help.....
find an equation of a line perpendicular to y=3/2x+5 and contains the point(0,0)
please show me step by step
thank you
april
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


Distribute


Multiply


Simplify (ie remove unneeded zeros).


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 .


If you need more help, email me at jim_thompson5910@hotmail.com

Also, feel free to check out my tutoring website

Jim
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