Respuesta :

Answer: y -5 = -1/3(x+3)

Step-by-step explanation:

The point slope form formula indicates that   y - b = m(x -a) where  m is the slope, b is the y coordinate of a given point while a is the x coordinate of the same given point.

We will use the first point with the x coordinate  -3 and y coordinate 5 to to write the equation but first we need to find the slope.

The slope is the difference between the y coordinates divided by the difference between the x coordinates.

Y coordinates;    5- 2 = 3

x coordinates:   -3-6 = -9

Slope: -3/9 = -1/3  

Equation: y - 5 = -1/3(x -( -3)   reduce it to  y -5 = -1/3(x+3).

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