Question

Graph 3x - y = 3 by finding its x-intercept & y-intercept.

Answer 1

In this case, we have te equation of a line, the general form of a linear equation looks like this:

y=mx+b

where m is the slope of the line and b is its intercept.

Now let's make our equation to look like the general formula, we can do this by adding y and subtracting 3 in both sides, like this:

`\begin{gathered} 3x-y=3 \\ 3x-y+y-3=3-3+y \\ 3x-3=y \end{gathered}`

Now, as we can see the value of the slope of our line is 3, and its intercept is also 3.

Now, when we want to plot a line we just have to find two points of it, we can find these points by replacing x into the equation and calculating it's y value, for example, let's do it with x equals 0 and x equals 1:

`\begin{gathered} y(0)=3*0+3=3 \\ y(1)=3*1+3=6 \end{gathered}`

Now we know two points of the line, (0,3) and (1,6), let's plot them and connect them with the line