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taurus [48]
3 years ago
5

Give the slope between the points (-5,-3) (-1,-8)

Mathematics
1 answer:
Dima020 [189]3 years ago
4 0
Slope is difference in y over difference in x:

m = ( -8 - -3) / (-1 - -5) = (-5)/(4) = -5/4

The slope is -5/4.
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Given:
2x - 3y = -6  ⇒ identified as 1st equation
x + 2y = 8    ⇒ identified as 2nd equation

Let us first get the value of x using the 2nd equation.
x + 2y = 8
x = 8 - 2y

Substitute x in the 1st equation with its value and find the value of y.
2x - 3y = -6
2(8-2y) - 3y = -6
16 - 4y -3y = -6
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Substitute the value of y in the 2nd equation.
x = 8 - 2y
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To check:  x = 12/7 and y = 22/7  *we need to use the improper fractions.
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x + 2y = 8
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(12+44)/7 = 8
56/7 = 8
8 = 8

8 0
3 years ago
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