Question

The table of values represents a linear function. For this function, what is the value of y when x = 4?x–4046y34?5.5y =

Answer 1

In order to calculate the value of y when x = 4, first let's calculate the slope m using the points (-4, 3) and (0, 4) from the table:

`\begin{gathered} m=(y_2-y_1)/(x_2-x_1) \\ m=(4-3)/(0-(-4)) \\ m=(1)/(4) \end{gathered}`

Now, to find y for x = 4, we can use the point-slope form of the equation:

`\begin{gathered} y-y_1=m(x-x_1) \\ (x_1,y_1)=(0,4)\colon \\ y-4=(1)/(4)(x-0) \\ x=4\colon \\ y-4=(1)/(4)\cdot4 \\ y-4=1 \\ y=5 \end{gathered}`

So the value of y is equal to 5.