Question

Determine the x-intercept of the line whose equation is given: y = 4x + 2

A. (0, 2)
B. (-2, 0)
C. (0, -1/2)
D. (-1/2, 0)

Answer 1

The x-intercept of the line with the equation y = 4x + 2 is (-1/2, 0), which is option D.

Step-by-step explanation:

The student asked to determine the x-intercept of the line with the equation y = 4x + 2. To find the x-intercept, we set y to 0 and solve for x. This is because the x-intercept occurs where the line crosses the x-axis, and at this point, the value of y is 0.

Setting y to 0 in the equation, we get:

• 0 = 4x + 2

Now, we solve for x:

• -2 = 4x
• x = -2/4
• x = -1/2

Therefore, the x-intercept of the line is (-1/2, 0), which corresponds to option D.