SOLUTION: hi, my name is kimberly and i am struggling on linear functions. i nee help on this problem 3x-4y=9 email: perez996@gmail.com

Question 605998: hi, my name is kimberly and i am struggling on linear functions. i nee help on this problem 3x-4y=9
email: perez996@gmail.com
Answer by Sarey(4) (Show Source): You can put this solution on YOUR website!
Start with the given equation.

Subtract from both sides.

Rearrange the terms.

Divide both sides by to isolate y.

Break up the fraction.

Reduce.

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

Multiply both sides by 3 to clear the fraction

Distribute

Subtract 3 from both sides. Add 4x to both sides.

Combine like terms.

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

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