Find the equation of the line that passes through the points (2, 2) and (-4, -1).

Select the appropriate response:
A) y=3x-3
B) y = (– 2/3)x + 8/3
C) y=1/2x+1

Help me please!

The answer to your question is the letter C)     y = 1/2x+ 1      

Step-by-step explanation:

Data

Point 1 = (2, 2)

Point 2 = (-4, -1)

Process

1.- Find the slope of the line

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

      x1 = 2   y1 = 2   x2 = -4   y2 = -1

-Substitution

             m = (2 + 1) / (2 + 4)

-Simplification

             m = 3/6

-Result

             m = 1/2

2.- Find the equation of the line

             y - y1 = m(x - x1)

             y - 2 = 1/2(x - 2)

-Expand

             y - 2 = 1/2x - 2(1/2)

-Simplify

            y - 2 = 1/2x - 1

            y = 1/2x - 1 + 2

-Result

             y = 1/2x+ 1                        

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