Question

Write the standard form of the equation of the line described

through (2,0), parallel to y=2/3x

Answer 1

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 =
`(2)/(3)` (x - 2)
y =
`(2)/(3) - (4)/(3)`

`(2)/(3) - (4)/(3)` = y

`(2)/(3)x - y = (4)/(3)`
or we could simplify the fraction by multiplying both sides by 3
2x - 3y = 4

The equation in standard form is

`\boxed{2x-3y=4}`