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  • 21-01-2023
  • Mathematics
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what is the slope of the line through the points (-2,6) and (-4,9) ?

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zrh2sfo
zrh2sfo zrh2sfo
  • 21-01-2023

Answer:

= (-3)/2

Step-by-step explanation:

Compute the slope of the line through the following points:

p_1 = (-2, 6) and p_2 = (-4, 9)

The slope of the line through (x_1, y_1) and (x_2, y_2) is:

(y_2 - y_1)/(x_2 - x_1)

Substitute (x_1, y_1) = (-2, 6) and (x_2, y_2) = (-4, 9):

= (9 - 6)/(-4 - -2)

9 - 6 = 3:

= 3/(-4 - -2)

-(-2) = 2:

= 3/(-4 + 2)

-4 + 2 = -2:

= 3/(-2)

Multiply numerator and denominator of 3/(-2) by -1:

Answer:  = (-3)/2

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