What is the equation, in point-slope form, for a line that goes through (2, – 6) and has a slope of -3/4? y-6 = 3/4 (x-2)

y–6=-3/4(x+2)

y+6= -3/4 (x+2)

y+6= -3/4 (x– 2)

If she started with -100 points, let’s think about where that is in relation to 0. That’s just 100 points backwards from 0, right? So, in order to get to 0 again, she would have to earn 100 points ( -100 + 100 = 0 ).

So, for now, she’s earned 100, but is currently at 0 because the -100 she had and the 100 she earned cancelled out. If she finished with 800, and she’s currently at 0 (after earning 100), she would have to earn another 800 to get to her final score (0 + 800 = 800).

In total, she earned 900 points, because she earned 100 then 800, and 100+800=900.

You can also think of it this way:

-100 + x = 800
x = 800 + 100 (we added 100 to both sides)
x = 900