Find the y-intercept of the line y = -5x + 7.

• A. 7
• B. -5
• C. 0
• D. 1

Answer: (A)

The y-intercept is the value of y when x is 0, i.e., where the line crosses the y-axis. For y = -5x + 7, set x = 0: y = -5(0) + 7 = 7. So the line meets the y-axis at y = 7, and the intercept is 7. Here -5 is the slope and 7 is the constant term that determines the intercept. Substituting x = 0 doesn’t give the other values.