Write the equation of a line with slope 3 that passes through (0,-2).

• A. y = 3x + 2
• B. y = -3x - 2
• C. y = x - 2
• D. y = 3x - 2

Answer: (D)

To find the line, use the slope-intercept form y = mx + b. With slope m = 3, the equation starts as y = 3x + b. Since the line passes through (0, -2), plug in x = 0 and y = -2: -2 = 3(0) + b, so b = -2. Therefore the equation is y = 3x - 2. This matches the line that has slope 3 and crosses the y-axis at -2. The other options either have the wrong slope or the wrong intercept: a plus 2 on the intercept, a negative slope, or a slope of 1.