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:
[tex]\begin{gathered} m=\frac{y_2-y_1}{x_2-x_1} \\ m=\frac{4-3}{0-(-4)} \\ m=\frac{1}{4} \end{gathered}[/tex]Now, to find y for x = 4, we can use the point-slope form of the equation:
[tex]\begin{gathered} y-y_1=m(x-x_1) \\ (x_1,y_1)=(0,4)\colon \\ y-4=\frac{1}{4}(x-0) \\ x=4\colon \\ y-4=\frac{1}{4}\cdot4 \\ y-4=1 \\ y=5 \end{gathered}[/tex]So the value of y is equal to 5.
