In the slope-intercept form y = 3x + 5, what is the y-intercept?

In the slope-intercept form y = 3x + 5, what is the y-intercept?

• A. 3
• B. 5
• C. -5
• D. 0

Answer: (B)

In slope-intercept form, y = mx + b, the y-intercept is the value where the line crosses the y-axis, which is the constant term b (the y-value when x = 0). For y = 3x + 5, if you set x to 0, you get y = 3(0) + 5 = 5. So the line crosses the y-axis at y = 5, i.e., the y-intercept is 5 (the point (0, 5)). The 3 is the slope, showing how steeply the line rises, and doesn’t determine the intercept.

In slope-intercept form, y = mx + b, the y-intercept is the value where the line crosses the y-axis, which is the constant term b (the y-value when x = 0). For y = 3x + 5, if you set x to 0, you get y = 3(0) + 5 = 5. So the line crosses the y-axis at y = 5, i.e., the y-intercept is 5 (the point (0, 5)). The 3 is the slope, showing how steeply the line rises, and doesn’t determine the intercept.