Which of the following is the x-intercept of the plane 2x-4z+1=0?
a) P(2,0,-4)
b) P(0,0,0)
c) P(-1/2,0,0)
d) P(0,0,1/4)
To find the x-intercept of the plane 2x-4z+1 = 0, we need to find the point on the plane where the y and z coordinates are both zero.
Let's substitute y = 0 and z = 0 into the equation and solve for x:
2x - 4(0) + 1 = 0
2x + 1 = 0
2x = -1
x = -1/2
Therefore, the x-intercept of the plane is x = -1/2.
From the given options, the correct answer is c) P(-1/2,0,0).