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What is the slope of the line passing through # (-3,-3); (9,1) #?

Answer 1

Eli Assouline

See a solution process below:

The formula for find the slope of a line is:

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

Where #(color(blue)(x_1), color(blue)(y_1))# and #(color(red)(x_2), color(red)(y_2))# are two points on the line.

Substituting the values from the points in the problem gives:

#m = (color(red)(1) - color(blue)(-3))/(color(red)(9) - color(blue)(-3)) = (color(red)(1) + color(blue)(3))/(color(red)(9) + color(blue)(3)) = 4/12 = 1/3#

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Answer 2

Hazel Anglin

The slope of the line passing through (-3, -3) and (9, 1) is 1/3.

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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.