Question

What is the equation of the line (-6,-6), and has a slope of 2/3

Answer 1

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

Explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Here m =
`(2)/(3)`, thus

y =
`(2)/(3)` x + c ← is the partial equation

To find c substitute (- 6, - 6) into the partial equation

- 6 = - 4 + c ⇒ c = - 6 + 4 = - 2

y =
`(2)/(3)` x - 2 ← equation of line