Question

Rag the red and blue dots along the x-axis and y-axis to graph 10x - 7y=40

Answer 1

We were given the equation:

`10x-7y=40`

We will proceed to graph this equation as shown below:

`\begin{gathered} 10x-7y=40 \\ \text{Make ''y'' the subject of the equation, we have:} \\ \text{Subtract ''10x'' from both sides, we have:} \\ -7y=-10x+40 \\ \text{Divide through each term by ''-7'' to obtain the equation in terms of ''y'', we have:} \\ y=(-10)/(-7)x+(40)/(-7) \\ y=(10)/(7)x-(40)/(7)_{} \\ \\ y=(10)/(7)x-(40)/(7)_{} \\ when\colon x=-7 \\ y=(10)/(7)(-7)-(40)/(7) \\ y=-10-(40)/(7) \\ y=-(110)/(7) \\ \\ when\colon x=0 \\ y=(10)/(7)(0)-(40)/(7) \\ y=-(40)/(7) \\ \\ when\colon x=7 \\ y=(10)/(7)(7)-(40)/(7) \\ y=10-(40)/(7) \\ y=(30)/(7) \end{gathered}`

We will proceed to plot these ordered pairs on a graph, we have: