Question

write the standard form of the equation of the line described: through: (2,0), parallel to y=2/3x

Answer 1

Parallel line has equal slopes, hence required line has slope of 2/3.
Required equation is y - 0 = 2/3(x - 2)
y = 2/3 x - 4/3
2/3x - y - 4/3 = 0
2x - 3y - 4 = 0