Question

In the table below represent a linear function. laput (0 Output ) 6 0 10 1 2 3 18 50

Answer 1

EXPLANATION

First, we need to draw the graph by plotting the given points as shown as follows:

As we can see, this is a line. We can conclude this because we draw a line that match the given points.

In order to obtain the equation of this line, we need to compute the slope.The y-intercept is not necessary to compute because it's given ---> y-intercept = (0,6)

The equation of a line is as follows:

y = mx + b where m is the slope and b the y-intercept

The equation of the slope is:

`\text{Slope=}(y_2-y_1)/(x_2-x_1)`

Taking either ordered pair allow us to compute its value, as for instance, (x_1,y_1)=(1,10) and (x_2,y_2)=(2,14).

Replacing terms:

`\text{Slope}=(14-10)/(2-1)=(4)/(1)=4`

Hence, as the slopeis m=4 and the y-intercept is b=6 the equation of the line is as follows:

y = 4x + 6

Additionally, the unknown value is (11,50) as obtained on the graph.