Question

Select the correct answer. What are the intercepts of y = 4x − 2?

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

Answer 1

A is the correct answer

Explanation:

To answer this you need to find the value for x that makes the y value zero.

and the value for y when x is zero.

There are 2 intercepts on for a linear equation. One x-intercept (where the graph crosses the x-axis) and one y-intercept (where the graph crosses the y-axis).

Step 1:

The x-intercept is found by setting 'y' equal to zero and solving the equation.

0 = 4x - 2 solve this...

2 = 4x (add 2 to both sides)

0.5 = x (divide both sides by 4 to get x by itself)

So the x-intercept is at the point (0.5. 0)

Step 2: The y-intercept if found by setting 'x' equal to zero and solving

y = (0)x - 2

y = -2

So the y-intercept is at the point (0, -2)