Use a sketch graph and the formula for perpendicularity criterion to find the equation of the line perpendicular to the original line passing through (3, 11) and (5, 19).

Question

Either point can be used in work. Please show all working.

PLEASE HELP ME, I NEED THIS ANSWER IN THE NEXT HOUR OR TWO!! THANK YOU SM!!

Answer 1

The slope of the given line is m = (19-11)/(5-3) = 8/2 = 4

the perpendicular line has slope (-1/4)

Since you said either point, I'll pick (3,11)

B = y - mx = 11 - (-1/4)(3)

= 11 + 3/4

47/4

y = (-1/4)x + 47/4

now , IF you choose (5,19) then the

equation is

B = y - mx = 19 - (-1/4)(5)

= 19 + 5/4

= 81/4

y = (-1/4)x + 81/4

Note that (5,19) does not work in the first equation because it is not on it...

Note that (3,11) does not work in the second equation because it is not on it....