What is the equation for the line shown? a. y=3/2x+2 b. y= -3/2x+2 c. y= 3/2x -2 d. y= -2/3x+2

option B

Step-by-step explanation:

we know that the equation of the line is:

y=mx+b

m= slope= (y2-y1)/(x2-x1)

we have two points given from the graph:

point 1: (0,2)

point 2: (2,-1)

we to find the slope:

m=(-1-2)/(2-0)

m= -3/2= slope

we need to find "b"

using the point (0,2), we have:

2=0x+b

so we have b=2

finally we have

y=(-3/2)x+2 = option B

the answers c