Question

Equation of a straight line passing through the point (2, 3) and having infinite slope is

Answer 1

Answer:

x=2

Step-by-step explanation:

Infinite slope  = Angle between line and x-axis = 90 degrees  (pi/2)

(Because slope = tan(theta) = tan(pi/2) = Infinity (not defined))

=> (y-y1)=m(x-x1)

=> (y-y1)/m=(x-x1)

since m is infinity, 1/m = 0

=> (y-y1)/m = 0

=> x-x1=0

=> x=x1

=> x=2

For all values of y, x is 2, which means a line parallel to the y axis.

Hence, x=2  is your answer.