121k views
1 vote
Find the equation of the linear function represented by the table below in slope-intercept form.X1234y-3-7-11-15

Find the equation of the linear function represented by the table below in slope-intercept-example-1

1 Answer

1 vote

Answer:

The equation of the linear function represented in the table is y = -4x + 1.

Step-by-step 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.


\begin{gathered} -15-(-11)=-4 \\ -11-(-7)=-4 \\ -7-(-3)=-4 \end{gathered}

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.


-3-(-4)=1

Hence, the y-intercept is 1.

Therefore, the equation is y = -4x + 1.

User Ankit HTech
by
8.2k points

No related questions found

Welcome to QAmmunity.org, where you can ask questions and receive answers from other members of our community.

9.4m questions

12.2m answers

Categories