Answer:

Step-by-step explanation:
you have the line

clearing for y:

we have an equation of the form

the number that accompanies the x is the slope, and the number alone is the intercept with the y-axis
the slope m is:

i will call the slope of the new line 
so for two perpendiculares lines we must have:
and from this we can find the new slope:

the new slope is 2,
so far we have that the new line is:

so now we have to find the intercept with the y axis (
) of the new line, since it passes trough (6,3) ---> x = 6 when y = 3
substituting these x and y values in
:

and finally, the equation of the new line that is perpendicular to the original line is:
