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.

Answer 1

(3,11) and (5,19) has slope = m = 19-11)/(5-3) = 8/2 = 4

y=4x + b where b is calculated by plugging in either point

11 =4(3) + b

b = 11-12 = -1

y = 4x -1 is the equation of the line through the two given points

a line perpendicular with have a slope that is the negative inverse of 4, or -1/4

the perpendicular equation is y=-x/4 + b where b is an unknown constant