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6) $y = 4$

Question

  1. $y = 4$

Explanation:

Step1: Identify the equation type

The equation $y = 4$ is a horizontal - line equation. In a two - dimensional Cartesian coordinate system, for any value of $x$, the value of $y$ is always 4.

Step2: Plot points

We can choose some arbitrary values of $x$ such as $x=-3,-2,-1,0,1,2,3$. For each of these $x$ values, $y = 4$. So the points are $(-3,4),(-2,4),(-1,4),(0,4),(1,4),(2,4),(3,4)$.

Step3: Draw the line

Connect these points with a straight line. The line is parallel to the $x$-axis and passes through the point $(0,4)$ on the $y$-axis.

Answer:

A horizontal line parallel to the $x$-axis passing through the point $(0,4)$ on the $y$-axis.