What is the slope of the line passing through the following points: # (1,5), (-1,-3) #?

Answer 1

#4#

Slope (#m#) of line passing through the points #(x_1, y_1)\equiv (1, 5)# & #(x_2, y_2)\equiv (-1, -3)# is given as follows

#m=\frac{y_2-y_1}{x_2-x_1}#

#=\frac{-3-5}{-1-1}#

#=4#

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Answer 2

Eli Assouline

#m=4#

Given by the expression is the slope.

#(Deltay)/(Deltax)#, where the Greek letter #Delta# (Delta) represents change in.

If that expression seems foreign to you, all it is saying is we find out what our #y# changes by, and divide it by what our #x# changes by.

#y# goes from #5# to #-3#, which represents a change by #-8#, so we can say #Deltay=-8#.

#x# goes from #1# to #-1#. This represents a change by #-2#; We can say

#Deltax=-2#

We split the two now, and we obtain

#4# as our slope.

I hope this is useful.

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Answer 3

Isaiah Anthony

The slope of the line passing through the points (1,5) and (-1,-3) is 4.

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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.