Question

Graph a line trough the given point with the given slope. Point:(4, 3 slope ( -4/3)

Answer 1

Given a line with the following properties:

• Point: (4,3)

,

• Slope: -4/3

Using the slope formula:

`\begin{gathered} \text{Slope},m=\frac{Change\text{ in y-axis}}{Change\text{ in x-axis}} \\ (-4)/(3)=(y-3)/(x-4) \end{gathered}`

Equating the numerators and denominators respectively:

`\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}`

Plot the two points (4,3) and (7,-1) to get your line as shown below: