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What is the slope of the line passing through # (8,-6); (3,0) #?

Answer 1

Isaiah Anthony

The slope:
#color(blue)(m=(-6)/5#

The points given are #(8,-6) = color(blue)(x_1,y_1#

#(3,0) = color(blue)(x_2,y_2#

The slope is calculated by:

#m=color(blue)(y_2-y_1)/(x_2-x_1)#

#m=color(blue)(0-(-6))/(3-8)#

#m=color(blue)((0 +6))/(-5)#

#m=(6)/(-5)#

#color(blue)(m=(-6)/5#

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Answer 2

Jace Anderson

To find the slope of the line passing through the points (8, -6) and (3, 0), you can use the slope formula:

[ \text{Slope} = \frac{{y_2 - y_1}}{{x_2 - x_1}} ]

Substituting the coordinates of the points into the formula:

[ \text{Slope} = \frac{{0 - (-6)}}{{3 - 8}} ] [ \text{Slope} = \frac{{6}}{{-5}} ]

Therefore, the slope of the line passing through the points (8, -6) and (3, 0) is ( \frac{{6}}{{-5}} ).

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Answer 3

Abigail Allen

The slope of the line passing through the points (8, -6) and (3, 0) is -6/5.

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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.