Find the gradient of the line perpendicular to AB Find the equation of the line perpendicular to AB and passing through point C

a) 3

b) y=3(x-2)-2

Step-by-step explanation:

a)

Step 1: Find the gradient/slope of AB

=

Step 2: Find the gradient/slope of the line perpendicular to AB

The slope of the line perpendicular to AB is the reciprocal of the slope of the line AB multiplied by -1, so the slope of the line perpendicular to AB is 3.

b)

Step 1: Find the formula for the equation of a line

If you have a point and the slope, you can use the point-slope form, which is y-y1=m(x-x1).

Step 2: Plug in values to the formula

y-(-2)=3(x-2)

Step 3: Simplify

y+2=3(x-2)

y=3(x-2)-2

answer: give more info

step-by-step explanation: