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How do you find the slope for (-1,2) and (-5,1)?

Answer 1

Abigail Allen

The slope of the line through the points #(-1,2)# and #(-5,1)# is #1/4#.

Apply the formula for slope:

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

One way to write a point is as follows:

#P_a=(x_a, y_a)#

Thus, we have two points to make:

#P_1=(-1,2)# and #P_2=(-5,1)#

Enter our values into the slope formula now:

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

#color(white)m=(1-2)/(-5-(-1))#

#color(white)m=(-1)/(-5+1)#

#color(white)m=(-1)/(-4)#

#color(white)m=1/4#

The slope of the line is #1/4#.

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Answer 2

Avery Alexander

To find the slope between two points ((-1, 2)) and ((-5, 1)), you use the formula:

[ \text{Slope} = \frac{{\text{change in } y}}{{\text{change in } x}} ]

Substitute the coordinates into the formula:

[ \text{Slope} = \frac{{1 - 2}}{{-5 - (-1)}} ]

[ \text{Slope} = \frac{{-1}}{{-5 + 1}} ]

[ \text{Slope} = \frac{{-1}}{{-6}} ]

[ \text{Slope} = \frac{1}{6} ]

Therefore, the slope between the two points is ( \frac{1}{6} ).

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