What is the slope of the line passing through #(1,-1); (4,7)#?

Answer 1

Abigail Allen

#8/3#

Slope #m# of a line passing through two points #A(x_1,y_1)# and #B(x_2,y_2)# is given by

#m=(y_2-y_1)/(x_2-x_1)#

Here let #A=(1,-1) and B=(4,7)#

#implies m=(7-(-1))/(4-1)=(7+1)/3=8/3#

#implies# slope of the line passing through the given points is #8/3#.

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Answer 2

Jameson Allen

To find the slope of the line passing through the points (1, -1) and (4, 7):

Use the slope formula: [ \text{Slope} = \frac{{y_2 - y_1}}{{x_2 - x_1}} ]
Substitute the coordinates of the points into the formula: [ \text{Slope} = \frac{{7 - (-1)}}{{4 - 1}} ]
Calculate the slope: [ \text{Slope} = \frac{{7 + 1}}{{4 - 1}} = \frac{{8}}{{3}} ]

So, the slope of the line passing through the points (1, -1) and (4, 7) is ( \frac{8}{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.