The line passes through the point (4, 3)
The line has a slope of m=-1/3
The equation of the line can be written in the form
[tex]y=mx+c[/tex]
Since the slope is -1/3
Then the equation becomes
[tex]y=-\frac{1}{3}x+c[/tex]
Since the line passes through the point (4, 3)
Substitute x = 4, y= 3 into the equation
[tex]3=-\frac{1}{3}(4)+c[/tex]
Simplify the equation and solve for c
[tex]\begin{gathered} 9=-4+3c \\ 9+4=3c \\ 13=3c \\ c=\frac{13}{3} \end{gathered}[/tex]
Hence, the equation becomes
[tex]y=-\frac{1}{3}x+\frac{13}{3}[/tex]
Using an online graphing calculator.
The graph of the line is shown
