Question

What is the standard form of the equation 6, -3 with a slope of two over three

Answer 1

The equation of line is y=
`(2)/(3)` x - 7

Explanation:

Given as :

The points as
`x_1` = 6

And
`y_1` = - 3

The slope of the line = m =
`(2)/(3)`

Now, The equation of line in slope-point form

y -
`y_1` = m × (x -
`x_1`)

Or, y - (-3) =
`(2)/(3)` × (x - 6)

Or, y + 3 =
`(2)/(3)` × (x - 6)

Or, 3 × (y + 3) = 2 × (x - 6)

Or, 3 y + 9 = 2 x - 12

Or, 3 y = 2 x - 12 - 9

Or, 3 y = 2 x - 21

∴ y =
`(2)/(3)` x -
`(21)/(3)`

i.e y =
`(2)/(3)` x - 7

So, The equation of line = y =
`(2)/(3)` x - 7

Hence, The equation of line is y=
`(2)/(3)` x - 7 Answer