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x | y

0 | -10
1 | -9
2 | -8
3 | -7

3 answers

It looks like you have a simple table of values for \( x \) and \( y \). The \( y \) values are increasing as \( x \) increases. It appears that for every increase of 1 in \( x \), \( y \) increases by 1.

If you'd like to express this relationship as a linear equation, you can observe that the points form a line. The relationship can be represented as:

\[ y = x - 10 \]

This equation indicates that when \( x = 0 \), \( y = -10 \), and for every increment in \( x \), \( y \) increases by the same amount.

If you have specific questions or need further analysis, feel free to ask!

fill in the BLANK's based on the table: f (x) = BLANK x + BLANK

Based on the relationship observed in your table, we can fill in the BLANKs from the equation \( f(x) = mx + b \).

From the table:

\[ \begin{array}{c|c} x & y \ \hline 0 & -10 \ 1 & -9 \ 2 & -8 \ 3 & -7 \ \end{array} \]

Step 1: Determine the slope (m)

The relationship shows that for every increase of 1 in \( x \), \( y \) increases by 1. Therefore, the slope \( m \) is:

\[ m = 1 \]

Step 2: Determine the y-intercept (b)

When \( x = 0 \), \( y = -10 \). This means that the y-intercept \( b \) is:

\[ b = -10 \]

Final Equation

Putting it together, we get:

\[ f(x) = 1x - 10 \]

So the complete form to fill in the BLANKs is:

\[ f(x) = \boxed{1} x + \boxed{-10} \]