Respuesta :
Using the definition of slope, the points (3 , -5), (-3 , 3), and (0 , 2) are not collinear.
Three or more points are said to be collinear if they lie on a single straight line.
To determine whether the given points are collinear, use the definition of slope. The slope, m, determines the steepness of a line. It can be measured by the vertical distance from one point to another divided by the horizontal distance of the same points.
m = (y2 - y1)/(x2 - x1)
Getting the slope of each pair of points:
(3 , -5) and (-3 , 3)
m = (y2 - y1)/(x2 - x1)
m = (3 - -5)/(-3 - 3)
m = 8/-6
m = -4/3
(-3 , 3) and (0 , 2)
m = (y2 - y1)/(x2 - x1)
m = (2 - 3)/(0 - -3)
m = -1/3
(3 , -5) and (0 , 2)
m = (y2 - y1)/(x2 - x1)
m = (2 - -5)/(0 - 3)
m = 7/-3
m = -7/3
Since collinear points lies on the same line, the slope of any pair of points should be the same. Since the slopes of each pair of points is not equal with each other, then they are not collinear.
Learn more about collinear points here: brainly.com/question/17314715
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