Question

Grahp the equation y= 4x- 1 by plotting points.

Answer 1

To plot the graph of the equation, we need to find the points on the graph.

Given the equation;

`y=4x-1`

Let us the corresponding values of y at x=0, 2 and 8;

`\begin{gathered} At\text{ x=0;} \\ y=4(0)-1 \\ y=-1 \\ so\text{ we have point;} \\ (0,-1) \end{gathered}`
`\begin{gathered} at\text{ x=2;} \\ y=4(2)-1 \\ y=8-1 \\ y=7 \\ (2,7) \end{gathered}`
`\begin{gathered} at\text{ x=8} \\ y=4(8)-1 \\ y=32-1 \\ y=31 \\ (8,31) \end{gathered}`

Then let us plot the three points above on a graph and join the points;

The graph of the given equation is shown above, with the three points derived plotted and joined with a straight line.