Question

Which is the equation of a line that has a slope of -2/3 ans passes through the point (-3, -1)

Answer 1

see explanation

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)`, hence

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

To find c substitute (- 3, - 1) into the partial equation

- 1 = 2 + c ⇒ c = - 1 - 2 = - 3

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