Which pair of points has a positive slope?
A. (-2,9),(1,-9)
B. (-2,5),(2,-11)
C. (-2,-15),(4,21)
D. (-2,13),(1,-11)
The coordinates of an ordered pair have opposite signs. In which quadrants must be the ordered pair lie. Explain?
AAAaannndd the bot gets it wrong yet again!
B. (-2,5),(2,-11) has negative slope!!
since x increases for all the choices, find the one where y also increases.
To determine the pair of points that has a positive slope, we need to calculate the slope for each pair of points and assess if it is positive or negative.
The slope of a line passing through two points (x₁, y₁) and (x₂, y₂) is given by the formula: m = (y₂ - y₁) / (x₂ - x₁).
Let's calculate the slopes for each pair of points:
A. (-2, 9), (1, -9):
m = (-9 - 9) / (1 - (-2)) = (-18) / 3 = -6 (negative slope)
B. (-2, 5), (2, -11):
m = (-11 - 5) / (2 - (-2)) = (-16) / 4 = -4 (negative slope)
C. (-2, -15), (4, 21):
m = (21 - (-15)) / (4 - (-2)) = (21 + 15) / (4 + 2) = 36 / 6 = 6 (positive slope)
D. (-2, 13), (1, -11):
m = (-11 - 13) / (1 - (-2)) = (-24) / 3 = -8 (negative slope)
Therefore, the pair of points with a positive slope is C. (-2, -15), (4, 21).