Given a line with the following properties:
• Point: (4,3)
,
• Slope: -4/3
Using the slope formula:
[tex]\begin{gathered} \text{Slope},m=\frac{Change\text{ in y-axis}}{Change\text{ in x-axis}} \\ \frac{-4}{3}=\frac{y-3}{x-4} \end{gathered}[/tex]
Equating the numerators and denominators respectively:
[tex]\begin{gathered} -4=y-3\implies y=-4+3=-1 \\ 3=x-4\implies x=3+4=7 \\ \implies(x,y)=(7,-1) \end{gathered}[/tex]
Plot the two points (4,3) and (7,-1) to get your line as shown below:
