Answer:
The equation of the linear function represented in the table is y = -4x + 1.
Explanation:
Since the values in the x-variable are consecutive, let's take a look at the y-values.
Let's determine the common difference of the y-values.
[tex]\begin{gathered} -15-(-11)=-4 \\ -11-(-7)=-4 \\ -7-(-3)=-4 \end{gathered}[/tex]
As we can see, the common difference between the y-values is -4. Therefore, the slope of the equation is -4.
To determine the y-intercept, let's subtract -4 from -3 to determine the y-value at x = 0.
[tex]-3-(-4)=1[/tex]
Hence, the y-intercept is 1.
Therefore, the equation is y = -4x + 1.
