What is the slope of the line passing through the following points: # (-10,-5) , (-8,-7)#?

Answer 1

slope = - 1

To calculate the slope use the #color(blue)"gradient formula"#

#color(red)(bar(ul(|color(white)(a/a)color(black)(m=(y_2-y_1)/(x_2-x_1))color(white)(a/a)|)))# where m represents the slope and #(x_1,y_1),(x_2,y_2)" are 2 coordinate points"#

The 2 points here are (-10 , -5) and (-8 ,-7)

let # (x_1,y_1)=(-10,-5)" and " (x_2,y_2)=(-8,-7)#

#rArrm=(-7-(-5))/(-8-(-10))=(-2)/2=-1#

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Answer 2

Eva Abramson

To find the slope of the line passing through the points (-10, -5) and (-8, -7), you use the slope formula:

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

Substituting the coordinates into the formula:

[ m = \frac{{(-7) - (-5)}}{{(-8) - (-10)}} ]

[ m = \frac{{-7 + 5}}{{-8 + 10}} ]

[ m = \frac{{-2}}{{2}} ]

[ m = -1 ]

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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.