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Nutka1998 [239]
2 years ago
13

NEED HELP FINDING SLOPE OF THE LINE

Mathematics
1 answer:
mamaluj [8]2 years ago
5 0

Answer:

slope = - \frac{2}{3}

Step-by-step explanation:

calculate the slope m using the slope formula

m = \frac{y_{2}-y_{1}  }{x_{2}-x_{1}  }

with (x₁, y₁ ) = (- 4, 2) and (x₂, y₂ ) = (2, - 2) ← 2 points on the line

m = \frac{-2-2}{2-(-4)} = \frac{-4}{2+4} = \frac{-4}{6} = - \frac{2}{3}

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Given:

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x+y=4.25

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To find:

The solution of given system of equations.

Solution:

We have,

x+y=4.25           ...(i)

16.90x+4y=36.35           ...(ii)

Multiply equation (i) by 4.

4x+4y=17           ...(iii)

Subtracting (iii) from (ii), we get

16.90x+4y-(4x+4y)=36.35-17

16.90x+4y-4x-4y=19.35

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x=\dfrac{19.35}{12.90}

x=1.5

Put this value in (i).

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y=4.25-1.5

y=2.75

The solution of system of equations is x=1.5 and y=2.75. It means, the yards of silk are 1.5 and yards of cotton are 2.75.

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