Answer:
Below in bold letters.
Step-by-step explanation:
a. y = 3x - 1.
The equation of the perpendicular line will have slope -1/ 3.
So we have the equation y - y1 = -1/3(x - x1) where (x1, y1) is a point on this perpendicular line.
As the line passes through (0,0):
y - 0 = 1/3(x - 0)
y = -1/3x is the required equation.
If x,4 is on the line then x is found by substituting for y:
4 = -1/3 x
x = 4 / -1/3
x = 4*-3 = -12.
b. y = 1/4x + 2
By the same method as in part a:
the equation is y = -4x.
x = 4 / -4 = -1.
