Question

Given: y = 3x - 4.
What is the x-intercept?
(0,-4)
(0,4/3)
(4/3,0)

Answer 1

The x-intercept is the point where the line meets the x axis, which is the set of points where the y coordinate is zero.

So, you set y=0 and solve for x:

$0=y=3x-4 \iff 3x-4=0 \iff 3x=4 \iff x=\dfrac{4}{3}$

So, the point is (4/3, 0)