Question

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

Answer 1

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 2

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.