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lauren6751
Answer: y=5/2x-4

Slope:

The y values are increasing by 5

The x values are increasing by 2

Put these numbers over each other for slope. The slope becomes 5/2.

Y-intercept:

Put the slope into a model equation

y=mx+b

y=5/2x+b

Now let’s solve by substituting a point into this equation. We will use the first point, (2,1)

1=5/2(2)+b

*multiply*

1= 5+b

*subtract 5 from both sides*

-4=b

Final equation: y=5/2x-4

Hope this is right and it helps comment below for more questions :)

A table is given containing the values of x and y.

The equation of the line is modeled by the values in the table.

As we can see in the table, we get to know that;

The y value is increased by 5 whereas the value of x is increased by 2.

So, we will put the numbers over each other for slope.

Therefore, slope=5/2

Now, we will put the slope value in the model equation;

y=mx+b

y=5/2x+b

Now, in the place of y and x we will be putting (2,1) in their place;

1=5/2(2)+b

b=1-5=-4

So, the final equation we get as;

y=5/2x-4

Hence, the equation of the line that is modeled by the values in the table shown is y=5/2x-4.

Whats is an equation?

equation, statement of equality between two expressions consisting of variables and/or numbers. In essence, equations are questions, and the development of mathematics has been driven by attempts to find answers to those questions in a systematic way.

What is equation simple?

A mathematical equation which represents the relationship of two expressions on either side of the sign. It mostly has one variable and equal to symbol. Example: 2x – 4 = 2.

What is equation and its types?

An equation is a statement that says that the value of two mathematical expressions is equal. In simple words, an equation says that two things are equal. It is denoted by the equal to sign '='. Example of an Equation: 8+2= 12-2. The above equation says that the left side of the equation is equal to the right side.

Learn more about equations, refer to:

https://brainly.com/question/16450098

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