Question

What are the intercepts of y = 4x − 2?

A. (2, 0) and (0, 0.5) B. (2, 0) and (0, 5) C. (2, 0) and (0, -2) D. (0.5, 0) and (0, -2)

Answer 1

D. (0.5, 0) and (0, -2)

Explanation:

We have the following equation:

`y = 4x - 2`

x-intercept:

The x-intercept of an equation is the value of x when
`y = 0`. So

`y = 0`

`4x - 2 = 0`

`4x = 2`

`x = (2)/(4)`

`x = 0.5`

So (0.5,0) is one of the intercepts

y-intercept:

The y-intercept of an equation is the value of y when
`x = 0`. So

`y(0) = 4(0) - 2 = 0 - 2 = -2`

So (0, -2) is the other intercept.

The correct answer is given by option D.