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What is the slope of the line between # (-2,2) # and # (-1,-12) #?

Answer 1

Abigail Allen

The slope is -14.

#(Y_2 - Y_1)/(X_2 - X_1)# = #m#, the slope

Label your ordered pairs.

(-2, 2) #(X_1, Y_1)# (-1, -12) #(X_2, Y_2)#

Plug in your data.

#(-12 - 2)/(-1 - -2)# = #m#

Two negatives become a positive, so the equation becomes:

#(-12 - 2)/(-1 + 2)# = #m#

Simplify.

#(-14)/(1)# = #m#

#m# = -14

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Answer 2

Eli Assouline

The slope of the line between (-2,2) and (-1,-12) is -14.

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Answer 3

Julia Adams

To find the slope of the line between the points (-2,2) and (-1,-12), we use the formula for slope, which is given by:

m = (y2 - y1) / (x2 - x1),

where (x1, y1) and (x2, y2) are the coordinates of the two points.

Substituting the coordinates into the formula:

m = (-12 - 2) / (-1 - (-2)),

m = (-12 - 2) / (-1 + 2),

m = (-14) / (1),

m = -14.

Therefore, the slope of the line between the points (-2,2) and (-1,-12) is -14.

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Answer from HIX Tutor

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.