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eimsori [14]
3 years ago
13

The table shows a linear function.

Mathematics
1 answer:
sergejj [24]3 years ago
7 0

Answer:

\large\boxed{y=\dfrac{5}{3}x+9}

Step-by-step explanation:

The slope-intercept form of an equation of a line:

y=mx+b

<em>m</em><em> - slope</em>

<em>b</em><em> - y-intercept → (0, b)</em>

The formula of a slope:

m=\dfrac{y_2-y_1}{x_2-x_1}

From the table we have an y-intercept (0, 9) → b = 9.

Take other point from the table (-6, -1).

Calculate the slope:

m=\dfrac{-1-9}{-6-0}=\dfrac{-10}{-6}=\dfrac{5}{3}

Finally:

y=\dfrac{5}{3}x+9

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Answer: The system of equations have many solutions and the correct options are A,B and D.

Explanation:

The given equations are,

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3y+6x=15

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Divide both sides by 3.

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It is same as equation (1). Since equation (1) and (2) are same, therefore all the points lies on the line or which satisfies the equation are the solution of the given system of equations.

Test the points whether the point lies on the line or not.

Check for point A(6,-7).

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Check for point B(2,1).

2(2)+(1)=5

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Check for point D(-4,13).

2(-4)+(13)=5

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LHS and RHS are equal, therefore the point D is the solution of the system of equations.

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35 people paid a total of $245 for admission to a local soccer game. What is the price of admission?

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