Question

Drag the red and blue dots along the x-axis and y-axis to graph 7x+3y=127x+3y=12

Answer 1

Step-by-step explanation:

A linear equation can be graphed in a simple manner. We just have to find two points that lie on the line of the equation and then connect them to produce a line.

Now what two points lie on 7x + 3y = 12?

Well, let us pick a point where x = 0. What is the y-coordinate? Putting x = 0 into our equation gives

`\begin{gathered} 7(0)+3y=12 \\ 3y=12 \end{gathered}`

diving both sides by 3 gives

`\begin{gathered} y=12/3 \\ y=4 \end{gathered}`

Hence a point with x = 0, y= 4 lies on the line. In other words, (0, 4) lies on the line.

We now need to find a second point that lies on the line. How about