A line has a slope of and a y-intercept of - 5.

Which equations represent the line?

Choose all answers that are correct.

A.-2+3y=-15

B. y=2/3x-5

C. 6y=4x-30

D. (y+3) = 2/3 (x-3)

A is wrong because the Y-Intercept: = - 13/3

B is correct because y=2/3x-5

c is correct because 6y=4x-30

and lastly D is correct because. (y+3) = 2/3 (x-3)

Answer choice A is incorrect as it is missing the variable 'x' in it.

Let's test answer choice B.

y = mx + b

m is the slope

b is the y-intercept

m = 2/3

b = - 5

y = (2/3) x - 5

B is one of the answers.

Let's test answer choice C.

6y = 4x - 30

y = (4/6) x - 30/6

y = (2/3) x - 5

Answer choice C is also correct.

Let's test answer choice D now.

y = (2/3) x - 5

Plug in (3,-3)

-3 = (2/3) (3) - 5

-3 = 2 - 5

-3 = - 3

This is correct, so therefore D is also one of the answers.

Your answer is B, C and D.