Question

Explain why the graph of a linear equation in the form of y=c is a horizontal line

Answer 1

let's say "c" is a constant, hmmmm any constant, for any value whatsoever of "x", "y" is always that constant, for example, say c = 3, thus y = 3, so a table for it will look like


`\bf \begin{array}{ccll} x&y\\ \text{\textemdash\textemdash\textemdash}&\text{\textemdash\textemdash\textemdash}\\ -\infty&3\\ -6&3\\ -5&3\\ -4&3\\ -3&3\\ -2&3\\ -1&3\\ 0&3\\ 1&3\\ 2&3\\ 3&3\\ 4&3\\ 5&3\\ 6&3\\ +\infty&3 \end{array}`

now, if you plot those points, it'd looks like the picture below.