How do you find the slope of the line passing through (-4,-1) and (5,-4)?

Answer 1

See a 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)(-4) - color(blue)(-1))/(color(red)(5) - color(blue)(-4)) = (color(red)(-4) + color(blue)(1))/(color(red)(5) + color(blue)(4)) = -3/9 = -1/3#

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Answer 2

Eva Adamson

To find the slope of the line passing through (-4,-1) and (5,-4), use the slope formula:

m = (y2 - y1) / (x2 - x1)

Substitute the coordinates into the formula:

m = (-4 - (-1)) / (5 - (-4))

Simplify:

m = (-4 + 1) / (5 + 4) m = -3 / 9

Reduce the fraction:

m = -1/3

Therefore, the slope of the line passing through (-4,-1) and (5,-4) 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.