How do you find the slope of the line between point (-3,8) and point (4,-1)?

Answer 1

See the entire solution process below:

The slope can be found by using the formula: #m = (color(red)(y_2) - color(blue)(y_1))/(color(red)(x_2) - color(blue)(x_1))#

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

Changing the values from the problem's points yields:

#m = (color(red)(-1) - color(blue)(8))/(color(red)(4) - color(blue)(-3)) = (color(red)(-1) - color(blue)(8))/(color(red)(4) + color(blue)(3)) = -9/7#

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Answer 2

Eli Assouline

To find the slope of the line between two points (-3,8) and (4,-1), you use the slope formula: ( m = \frac{{y_2 - y_1}}{{x_2 - x_1}} ). Plug in the coordinates: ( m = \frac{{-1 - 8}}{{4 - (-3)}} ). Simplify: ( m = \frac{{-9}}{{7}} ). So, the slope of the line is ( -\frac{9}{7} ).

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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.