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A line has a slope of -3/5 . Which ordered pairs could be points on a parallel line? Check all that apply.


(–8, 8) and (2, 2)


(–5, –1) and (0, 2)


(–3, 6) and (6, –9)


(–2, 1) and (3, –2)


(0, 2) and (5, 5)

Respuesta :

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If the slope of the line is -3/5, then all parallel lines will have that same slope:  -3/5, and the form of the equation of the line will be

y = (-3/5)x + b, where b is any constant (positive, negative or zero).


Check whether (-8, 8) and (2, 2) could be on a line parallel to y = (-3/5)x + b.

To do this, determine the slope of the line that connects (-8, 8) and (2, 2):
          8 - 2
m = ------------- = -6/10 = -3/5.  YES, these two points qualify (they could be
         -8 - 2                                on a line parallel to y = (-3/5)x + b)

Please check out all the other points in the same way.

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