We want to find an equation for a line parallel to the x-axis, perpendicular to the y-axis, and with a slope of 0.
The correct option is C; y = 4/5
First, a general line is written as:
y = a*x + b
Where a is the slope and b is the y-intercept.
If the line has a slope of 0, then we have:
y = a*0 + b
y = b
So the lines of the form y = b are the ones with a slope equal to zero (these lines are parallel to the x-axis, and because the x-axis is perpendicular to the y-axis, these lines are also perpendicular to the y-axis).
So we just need to see which line has the general shape:
y = b
That one is the line in option C, y = 4/5
So the correct option is C.
If you want to learn more, you can read:
https://brainly.com/question/10863938
