In more detail, this answer can be obtained through the following method.
The problem wants us to write an equation that is parallel to the line below and passes through the coordinates (10, 9).
Parallel lines have the same slope.
Since we have our slope (m = 4/5) and our point (10, 9), we can use point-slope form to find our equation.
Point-slope form:
y - y1 = m(x - x1)
y1 is the y-coordinate of the given point (10, 9)
x1 is the x-coordinate
m is the slope (4/5)
This can be written as:
y - 9 = 4/5(x - 10)
Simplify this by isolating y. Distribute the right side and add 9.
y - 9 = 4/5x - 8
y = 4/5x + 1
Therefore, your answer is A.