Write the equation for the family of lines with the following characterization(c) having x-intercept 6

Let's begin by listing out the given information:
2c)
x-intercept refers to the point at which y = 0
The equation with an x-intercept of 6 is given by:
[tex]\begin{gathered} y=x-6-----1 \\ x-intercept\Rightarrow y=0 \\ y=0 \\ Equation\text{ 1 becomes this:} \\ 0=x-6 \\ \text{Add ''6'' to both sides, we have:} \\ 0+6=x-6+6^{} \\ 6=x\Rightarrow x=6 \\ x=6 \\ \therefore y=x-6\text{ is such an equation} \end{gathered}[/tex]