WILL GIVE A BRAINLESTA 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)
Accepted Solution
A:
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.