Question

Use the x and y intercepts to sketch a graph of each equation.3x-4y=24

Answer 1

First, we determine the x and y-intercepts of the equation.

x-intercept

`\begin{gathered} \text{When y=0} \\ 3x-4y=24 \\ 3x-4(0)=24 \\ 3x=24 \\ x=(24)/(3)=8 \\ x-i.ntercept\colon(8,0) \end{gathered}`

y-intercept

`\begin{gathered} \text{When x=0} \\ 3x-4y=24 \\ 3(0)-4y=24 \\ -4y=24 \\ y=(24)/(-4)=-6 \\ y-i.ntercept\colon(0,-6) \end{gathered}`

Next, we sketch the graph using the points (8,0) and (0,-6).