What is the slope-intercept form of the line with slope 2 that passes through (0, -3)?

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

Answer: (D)

In slope-intercept form, a line is y = mx + b, where m is the slope and b is the y-intercept. With a slope of 2, m = 2. Since the line passes through (0, -3), when x = 0 the y-value is -3, so the intercept b is -3. Put it together: y = 2x - 3. This line rises 2 units for every 1 unit to the right and crosses the y-axis at -3, matching the given conditions. The other options would have the wrong slope or the wrong intercept, so they don’t fit both requirements.