To find the equation of the line we use two points: (0, 4) and (4, 7).
Now, we use the slope formula to find the slope.
[tex]\begin{gathered} m=\frac{y_2-y_1}{x_2-x_1} \\ m=\frac{7-4}{4-0}=\frac{3}{4} \end{gathered}[/tex]
Now, we use the point-slope formula to find the equation.
[tex]y-y_1=m(x-x_1)[/tex]
Let's replace the slope and the first point.
[tex]\begin{gathered} y-4=\frac{3}{4}(x-0) \\ y-4=\frac{3}{4}x \\ y=\frac{3}{4}x+4 \end{gathered}[/tex]
Therefore, the equation is
[tex]y=\frac{3}{4}x+4[/tex]
