Question

The table on the right represents a linear function. Solve the following questions down below (2) and (3).1) The slope of the line is m = 1/22.) What is the y- intercept of the line? ____ (type an ordered pair)3.) Using your own answers from questions (1) & (2) write an equation for f(x)

Answer 1

Given:

The table values for the linear function are given.

To find:

The y-intercept and the equation of the line.

Explanation:

According to the table values,

When x =0, the y value becomes 13.

So, the y-intercept of the line is,

$(0,13)$

Let us consider,

$(0,13),m=\frac{1}{2}$

Using the point-slope formula,

$\begin{gathered} y-y_1=m(x-x_1) \\ y-13=\frac{1}{2}(x-0) \\ y-13=\frac{x}{2} \\ 2y-26=x \\ x-2y+26=0 \end{gathered}$

Therefore, the equation of the line is,

$x-2y+26=0$

Final answer:

2) The y-intercept of the line is,

$(0,13)$

3) The equation of the line is,

$x-2y+26=0$