The given equation of line is
[tex]y+4=\frac{2}{5}(x-3)[/tex]
Finding the x and y intercepts
For x intercept
When y = 0
This gives
[tex]\begin{gathered} 0+4=\frac{2}{5}(x-3) \\ 4=\frac{2}{5}(x-3) \\ 20=2x-6 \\ 20+6=2x_{} \\ 26=2x \\ x=\frac{26}{2} \\ x=13 \end{gathered}[/tex]
Hence, x intercept is (13, 0)
For y intercept
When x = 0
This gives
[tex]\begin{gathered} y+4=\frac{2}{5}(0-3) \\ y+4=\frac{2}{5}(-3) \\ y=\frac{-6}{5}-4 \\ y=\frac{-6-20}{5} \\ y=-\frac{26}{5} \\ y=-5.2 \end{gathered}[/tex]
Hence, y intercept is (0, - 5.2)
Using an online graphing calculator, the graph is as shown below
