Question

Find the equation of the linear function represented by the table below in slope-intercept form.X1234y691215******

Answer 1

Given:

Given a table.

Required:

To find the equation of the linear function.

Explanation:

From the table

$\begin{gathered} (x1,y1)=(1,6) \\ (x2,y2)=(2,9) \end{gathered}$

The general form of equation is

$y=mx+b$

Here the slope is

$\begin{gathered} m=\frac{y2-y1}{x2-x2} \\ \\ =\frac{9-6}{2-1} \\ \\ =\frac{3}{1} \\ \\ =3 \end{gathered}$

So

$y=3x+b$

Now we have to find the value of b, by using the point (1,6)

$\begin{gathered} 6=3(1)+b \\ \\ 6-3=b \\ \\ b=3 \end{gathered}$

Now

$y=3x+3$

Final Answer:

The linear equation is

$y=3x+3$