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How do you find the slope of a line segment connecting points (-3,4) & (7,-16)?

Answer 1

Eli Assouline

The slope # = -2#

The coordinates are: #( - 3 , 4 ) = color(blue)(x_ 1 , y _ 1 #

#( 7 , -16 ) = color(blue)(x_ 2 , y _2 #

The slope is calculated using formula: Slope #= color(blue)((y_2 - y_1) / (x_2 - x_1)#

# = ( -16 - 4 ) / ( 7 - (-3))#

# = ( -20) / ( 7 + 3 )#

# = ( -20) / 10 #

# = -cancel20 / cancel10 #

The slope # = -2#

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Answer 2

Ethan Adkins

To find the slope of a line segment connecting two points, you use the formula: slope = (change in y) / (change in x).

Given the points (-3,4) and (7,-16), the change in y is -16 - 4 = -20, and the change in x is 7 - (-3) = 10.

So, slope = (-20) / 10 = -2.

Therefore, the slope of the line segment is -2.

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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.

How do you find the slope of a line segment connecting points (-3,4) &amp; (7,-16)?

How do you find the slope of a line segment connecting points (-3,4) & (7,-16)?