Question

A line has a slope of 2/3 and a y-intercept of −5. Which equations represent the line? Choose all answers that are correct. (MULTIPLE CHOICE)
a. -2x + 3y = -15
b. y= 2/3x - 5
c. 6y = 4x - 30
d. (y + 3) = 2/3 (x - 3)

Answer 1

A.         -2x + 3y = -15
    -2x + 2x + 3y = 2x - 15
                     3y = 2x - 15
                      3          3
                       y = ²/₃ - 5
A is correct.

B. y = ²/₃ - 5
B is also correct.

C. 6y = 4x - 30
     6           6
       y = ²/₃x - 5
C is also correct.

D. y + 3 = ²/₃(x - 3)
     y + 3 = ²/₃(x) - ²/₃(3)
     y + 3 = ²/₃x - 2
         - 3          - 3
           y = ²/₃x - 5
D is also correct.

The answer to the problem is A, B, C, and D.