Perpendicular Bisectors [IB Math AI SL/HL]

[@cherryblossom4.0]

Thank you so much. Clear, to the point and thereby easy to follow along. Good job!

[@winstonfrieze808]

you have saved mt future

[@astridnkemla3285]

you are goated my guy

[@Arachnoverture_]

Real

[@naturegeek33]

Can you use the gradient intercept form

[@crazygamers2767]

Thanks good vid

[@florencia511]

One question, shouldn’t be y+2=-2(x-1)? Because y1 is -2 and the formula say -y1, so -(-2) is equal 2, instead of -2.

[@omarjakouch4519]

The coordinates are (1,2) and not (1,-2)

[@Peter-uy7xl]

@Florencia you are correct. The formula for the gradient is y2-y1/x2-x1. Implying that 3-(-1) / 3-1 which is 4/2=2. This makes the gradient of the perpendicular line -1/2, not -2.

[@Peter-uy7xl]

For the last step, all you have to do is with the help of the midpoint and the gradient find the value of b. (y=ax+b). Insert the values of the midpoint along with the gradient which are (1,2) into the equation. Then you are left with 2= - 1/2 * 2 + b. Solving this you get b which is 3. Then you get the equation of the line: y= -1/2x + 3