Determine which pair of points has a positive slope dot

A(5,-4) (-2,1)
B(-10, -2) (6, 6)
C(6, -10) (2,10)
D(5, -1) (-6,6)

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AcademicAsian AcademicAsian · Answer 1 · 2016-04-28T11:12:19-04:00

B. (-10, -2) (6, 6)

First point is in the third quadrant and the second is in the first.

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ap8997154 ap8997154 · Answer 2 · 2022-06-13T02:24:19-04:00

A slope is also known as the gradient of a line. The correct option is B.

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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