Final answer:
The equation of the line is y = 4.
Step-by-step explanation:
To write the equation of a line in slope-intercept form, we need to find the values of the slope (m) and the y-intercept (b). In this case, we are given that the line is perpendicular to the line x = 0, which is a vertical line passing through the y-axis. A vertical line has an undefined slope. However, a line perpendicular to a vertical line will have a slope of 0. So, the slope (m) of the line we are looking for is 0.
Since the line passes through the point (4,4), we can substitute the values of x and y into the slope-intercept form equation y = mx + b to find the y-intercept (b).
4 = 0(4) + b
b = 4
Therefore, the equation of the line in slope-intercept form is y = 4.