For the line y = 2x + 3, the x-intercept is which value?

• A. -3/2
• B. 3/2
• C. -3
• D. 0

Answer: (A)

To find the x-intercept of a line, set y to zero and solve for x. For y = 2x + 3, we have 0 = 2x + 3. Subtract 3 from both sides to get -3 = 2x, then divide by 2 to get x = -3/2. So the x-intercept is the point (-3/2, 0). This makes the y-coordinate zero when substituted into the equation, which is what defines the x-intercept. The other values don’t work because plugging them into the equation does not yield y = 0 (for example, x = 3/2 gives y = 6, x = -3 gives y = -3, and x = 0 would give y = 3).