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What is the slope of the line passing through the following points: #(-4, -2); (8,12)#?

Answer 1

Genesis Allen

#"slope "=7/6#

#"calculate the slope m using the "color(blue)"gradient formula"#

#•color(white)(x)m=(y_2-y_1)/(x_2-x_1)#

#"let "(x_1,y_1)=(-4,-2)" and "(x_2,y_2)=(8,12)#

#rArrm=(12-(-2))/(8-(-4))=14/12=7/6#

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Answer 2

Kennedy Adams

To find the slope of a line passing through two points, you can use the formula:

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

Substitute the given coordinates into the formula:

[ m = \frac{12 - (-2)}{8 - (-4)} ]

[ m = \frac{14}{12} ]

[ m = \frac{7}{6} ]

So, the slope of the line passing through the points (-4, -2) and (8, 12) is ( \frac{7}{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.