Respuesta :
B. (-10, -2) (6, 6)
First point is in the third quadrant and the second is in the first.
A slope is also known as the gradient of a line. The correct option is B.
What is Slope?
A slope also known as the gradient of a line is a number that helps to know both the direction and the steepness of the line.
The formula to find the slope of a pair of coordinates is,
m = (y₂ - y₁)/(x₂ - x₁)
A.) (5,-4) (-2,1)
m₁ = (-4-1)/[5-(-2)] = -5/7
Thus, this is a negative slope.
B. (-10, -2) (6, 6)
m₂ = (-2-6)/(-10-6) = -8/-16 = 1/2
Thus, this is a positive slope.
C. (6, -10) (2,10)
m₃ = (-10-10)/(6-2) = -20/4 = -5
Thus, this is a negative slope.
D. (5, -1) (-6,6)
m₄ = (-1-6)/[5-(-6)] = -7/11
Thus, this is a negative slope.
Hence, The correct option is B.
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