What is the slope of the line passing through the following points: #(-2, -1), (4, 0) #?

Answer 1

The slope is #1/6#.

The slope equation is #(y_2- y_1)/(x_2- x_1)# with the line going through the two points of #(x_1, y_1)# and #(x_2, y_2)#.

To find the slope while given two points, just plug in the values.

With the points, #(-2, -1)# and #(4, 0)#, the slope would be

#[0- (-1)]/[4- (-2)]#.

Simplify and because subtracting a negative number is like adding the positive of that number, it can also be written as

#(0+1 )/ (4+ 2)#

Add the terms of the numerator and add the terms of the denominator.

#1/6# is the slope of the line.

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Answer 2

Kennedy Adams

The slope of the line passing through the points (-2, -1) and (4, 0) is 1/6.

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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.