An angle with a tangent of 4/5 has its vertex at the point (2,3) and its initial side is parallel to x-axis?

Question

Find the equation of the line that contains the terminal side of the angle.

Answer 1

the equation of the line is y=mx+b where m is the slope.
Since one side is parallel to x, m=4/5
for x=2

3 = 8/5+b, b=3-8/5 = 7/5
so y= (4/5)x +7/5