Final answer:
The equation of a line with a slope of 4 that passes through the point (0, 6) is y = 4x + 6.
Step-by-step explanation:
The question concerns finding the equation of a line in slope-intercept form, which is given by y = mx + b. Here, m represents the slope of the line and b represents the y-intercept.
Since we are given the slope of the line as 4 and the point through which it passes as (0, 6), we can plug these values directly into the slope-intercept form. The point (0, 6) indicates that the y-intercept (b) is 6 because the x-coordinate is zero at the y-intercept.
Therefore, the equation of the line in slope-intercept form is y = 4x + 6.