Final answer:
The correct equation for a line starting at the point (0, 5) with a slope of 4 is y = 4x + 5, which makes option A the correct answer.
Step-by-step explanation:
The equation of a line in slope-intercept form is y = mx + b, where m is the slope and b is the y-intercept. Given that the line has a slope of 4 and it starts at the point (0, 5), which means the y-intercept is 5, we can plug these values into the slope-intercept form to get the equation of the line.
y = 4x + 5 is the correct equation because the slope m is 4 and the y-intercept b is 5. Therefore, option A. y = 4x + 5 is the correct answer to the question "A line starts at the point (0, 5) and has a slope of 4. What is the equation of the line?"