The line is parallel to y = 2/3 x, that means it has the same gradient as the line y = 2/3 x
Find the gradient of the line
m = 2/3 (the coefficient of x)
Write the equation using this following formula
y - y₁ = m (x - x₁)
plug in the numbers, (2,0) will be (x₁,y₁)
y - 0 = [tex] \frac{2}{3} [/tex] (x - 2)
y = [tex] \frac{2}{3} - \frac{4}{3} [/tex]
[tex] \frac{2}{3} - \frac{4}{3} [/tex] = y
[tex] \frac{2}{3}x - y = \frac{4}{3} [/tex]
or we could simplify the fraction by multiplying both sides by 3
2x - 3y = 4
The equation in standard form is
[tex]\boxed{2x-3y=4}[/tex]
