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AleksandrR [38]
4 years ago
11

Which equation represents a line that has the slope 1/3 and passes through the point (-2,1)

Mathematics
1 answer:
goldenfox [79]4 years ago
3 0

Answer:

y - 1 = (1/3)(x + 2)

Step-by-step explanation:

Here m = 1/3 and (-2, 1) is a point on the line.  The appropriate equation is

y - k = m(x - h), where (h, k) is the pt on the line.

Subbing the known values, we get:

y - 1 = (1/3)(x + 2)

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Answer:

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Step-by-step explanation:

We need to use the substitution method to solve the system of equations.

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For substitution method we substitute the value of x or y from one equation to other.

Let:

y = 10x-9--eq(1)\\y = x + 18--eq(2)

Putting value of y from equation 2 into equation 1

y=10x-9\\Put\:y=x+18\\x+18=10x-9\\x-10x=-9-18\\-9x=-27\\x=\frac{-27}{-9}\\x=3

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Now, for finding value of y, We substitute the value of x

Find value of x from equation 2

y=x+18\\x=y-18

Now, putting value of x in equation 1

y=10x-9\\Put\:x=y-18\\y=10(y-18)-9\\y=10y-180-9\\y-10y=-189\\-9y=-189\\y=\frac{-189}{-9}\\y=21

So, we get value of y=21

So, We get x=3 and y=21

The ordered pair will be: (3,21)

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