1. I'm given a slope of 1/4 and a set of 2 points each: p: (-12,6) & Q: (8,w) .find the value of w. what if the slope was -1/4, then what would the value of w be

Question

2. What is the solution to these equations:
3x-2y-8=0
9x-6y-42=0
One solution, no solution or infinite solution or other?

Please help!!! Thanks:):):):)

Answer 1

since the slope is 1/4, you know that y will increase by 1 when x increases by 4.
Since x increased from -12 to 8 (20), y will increase by 1/4 (20) = 5. So, w=6+5=11.

If the slope had been -1/4, w = 6-5 = 1

#2. multiply the 1st equation by 3 and you now have

9x-6y-24=0
9x-6y-42=0

no solution there, eh? 9x-6y can't be both 24 and 42.

Answer 2

Thank u soooooooo MUCH!!!!!