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).