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The table of values represents a linear function.

X Y
-2. 1
0. -9
2. -19
4. -29
6. -39
Complete the equation below to represent the function defined by the table in the form
y = mx + b.

User Perelman
by
7.6k points

2 Answers

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The linear function is
\(y = -5x - 9\), with a slope
(\(m\)) of -5 and a y-intercept
(\(b\)) of -9.

To find the equation of the linear function in the form
\(y = mx + b\), where
\(m\) is the slope and
\(b\) is the y-intercept, we need to determine these values using the given table of values.

Let's calculate the slope
(\(m\)):


\[ m = \frac{\text{change in } y}{\text{change in } x} \]

Using the values from the table:


\[ m = (-9 - 1)/(0 - (-2)) = (-10)/(2) = -5 \]

Now that we have the slope
(\(m\)), we can use any point from the table to find the y-intercept
(\(b\)). Let's use the point (0, -9):


\[ -9 = (-5)(0) + b \]


\[ b = -9 \]

So, the equation of the linear function is:


\[ y = -5x - 9 \]

In this equation, the slope
(\(m\)) is -5, indicating that for every unit increase in
\(x\), \(y\) decreases by 5. The y-intercept
(\(b\)) is -9, which is the value of
\(y\) when \(x\) is 0.

User Mennanov
by
7.7k points
4 votes

Answer:

5 mx plus b which you have to do 5 plus m to get 5m which is ur answer

User Zenahr
by
7.7k points

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