Let us start with something we know is true.
5 > 3
That reads as 5 is greater than 3. Anyone will tell you that that is a true statement.
But what happens when you multiply this result by - 10
5 * -10 > 3 * - 10
- 50 > - 30 is that true? If you are not sure, think it terms of money. Which would you rather be
owing 50 dollars to some or owing 30 dollars to someone? Of course if you are careful with money you would likely say neither. But this is math so you have to choose.
You likely would have to say you would want to owe 30 dollars. That makes - 30 larger than - 50. So a true statement has now become a false one. Check with me if you don't understand. I'd like to know if you accept my explanation.
Checking answer A:
distance from U to V = -2-(-11)=9
distance from U to W =7-(-2)=9 -> same distance !
checking answer B:
distance U-V : -2-(-8)=6
U-W : -2-(-6)=4 -> not the same distance
answer C :
U-V : -2-(-6)=4
U-W : 6-(-2)=8 -> not the same distance
answer D :
U-V : 0-(-2)=2
U-W : 2-(-2)=4 -> not the same distance
Conclusion : answer A
The y-intercept is -2 and the slope is 2/3
