Question

The table on the right represents a linear function. Solve the following questions down below.1.) What is the slope of the line? M=____2.) What is the y- intercept of the line?3.) Using your own answers from questions (1) & (2) write an equation for f(x)

Answer 1

-2.75

-6

Infinity

7

3.75

Explanation:

You have to divide y by x.

Answer 2

1) We have to find the slope of the linear function represented in the table.

If we already know it is a linear function we can take two points (x,y) from the table, like (0,13) and (2,14) and calculate the slope m as:

`m=(y_2-y_1)/(x_2-x_1)=(14-13)/(2-0)=(1)/(2)`

2) The y-intercept correspond to the value of y when x = 0.

From the table we can see that when x = 0, y is equal to 13.

Then, the y-intercept is b = 13.

3) Knowing the slope m = 0.5 and the y-intercept b = 13, we can write the equation of the line in slope-intercept form as:

`\begin{gathered} y=mx+b \\ y=(1)/(2)x+13 \\ f(x)=(1)/(2)x+13 \end{gathered}`

Answer:

1) Slope m = 1/2

2) y-intercept b = 13

3) Equation: f(x) = 1/2*x + 13