Question

40

The table below represents a linear situation.



Use this table to construct the function that it represents.

Answer 1

Opt. B

Explanation:

We need to build the equation by ourselves using two points from the table.

The equation of the line is given by:

y=mx+b where 'm' is the slope and 'b' the y-axis intercept point.

The slope can be obtained using the following equation.

`m=(y_(2)-y_(1))/(x_(2)-x_(1))`

Where (x1,y1) =(-1,3) and (x2,y2)=(0,7)

When performing the operation, we have this:

m=4

Now, 'b' can be otained by evaluating x=0, y=7 in the equation.

7=4*0+b, b=7

Now our line is y=4x+7