1. Find the slope of the straight line through the given pairs of points: (−2,6) and (−2,4)

2. Multiply the slopes of the lines through the given pairs of points:
(3,3) and (1,4)
(−7,3) and (−5,7)

3. The slopes of the lines through the given pairs of points are the same, find that slope:
(−2,5) and (3,−4)
(−1,−6) and (−6,3)

4. The slopes of the lines through the given pairs of points are the same, find that slope:
(4,8) and (−2,3)
(13,1) and (7,−4)

Abby is preparing fruit punch for her party. she starts with a bowl filled with liquid that has 1/2 fruit juice and 1/2 sprite, but she decides it's too fruity. so she pours out 1/4 of the liquid, and then fills the bowl up again with sprite. what fraction of the punch is now sprite?

Is there a direction u in which the rate of change of f(x,y)equals=x squared minus 3 xy plus 4 y squaredx2−3xy+4y2 at p(1,2) equals 14? give reasons for your answer. choose the correct answer below. a. no. the given rate of change is smaller than the minimum rate of change. b. no. the given rate of change is larger than the maximum rate of change. c. yes. the given rate of change is larger than the minimum rate of change and smaller than the maximum rate of change.

∠1 and ∠2 are vertical angles. ∠2 has a measure of 63°. what is the measure of ∠1 ? enter your answer in the box.