Suppose that the given line has a slope of -2/3 and a y-intercept of (0,5/3). which of the following points is also a solution to the line? select all apply
a. (5,5/3)
b. (1,1)
c. (4,-1)
d. (-3,7)
e. (0,0)

From five given points it is find that points (1 , 1) and (4 , -1) will apply

Step-by-step explanation:

According to question,

Slop of line (m) =

And y-intercept is ( 0, )

So from above slope and points, the equation of line can be written as

y = mx + c

i.e = x + c

    = (0) + c

    = 0 + c

Or, c =

A) With points ( 5, )

   At x = 5, y = (5) +

            or, y = +

            so, y =

Hence this points do not apply

B) With points ( 1 , 1 )

   At x = 1, y =   (1) +  

      or,      y =  

      So,     y =  

                y = 1

Hence this points will apply

C) With points ( 4 , -1 )

    At x = 4 , y =   (4) +  

                    y =  

                    y =  

             So,  y= -1

Hence this points will apply

D) With points (-3 ,7)

    At x = - 3, y = (-3) +  

                     y =

 Hence this point will not apply

E) with points (0 , 0)

    At x 0,     y =   (0) +  

               Or, y = 0 +  

                     y =  

Hence this point will not apply

∴ From above five given points it is find that points (1 , 1) and (4 , -1) apply

Answer

3 is greater then both of those numbers

2(2x + 3) = -4 + 2(2x + 5)

4x + 6 = -4 + 4x + 10

4x + 6 = 4x + 6

4x - 6 + 6 = 4x - 6 + 6

4x = 4x

x = x

unlimited solutions.