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

Answer 1

Genesis Allen

The slope # = - 1/ 5#

The coordinates are: #(4,0) = color(blue)(x_1, y_1#

#(-1,1) = color(blue)(x_2 , y_2#

The slope is calculated using formula: Slope #=color(blue)((y_2 - y_1) / (x_2 - x_1)#

# = (1-0) / (-1-4)#

# = (1) / (-5)#

# = - 1/ 5#

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Answer 2

Jace Anderson

To find the slope of the line passing through the points (4, 0) and (-1, 1), use the formula:

( \text{Slope} = \frac{{\text{change in y}}}{{\text{change in x}}} )

Substitute the coordinates into the formula:

( \text{Slope} = \frac{{1 - 0}}{{-1 - 4}} )

( \text{Slope} = \frac{{1}}{{-5}} )

( \text{Slope} = -\frac{1}{5} )

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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.