Question

1. graph each equation with or without a table of values. a) y = -4 and b) x = 6 c) x

Explanation:

Step1: Identify line type for $y=-4$

$y=-4$ is a horizontal line: for every $x$-value, $y$ equals $-4$. It passes through all points $(x, -4)$ where $x$ is any real number.

Step2: Plot $y=-4$ on the grid

Locate $y=-4$ on the vertical axis, then draw a straight horizontal line across the entire grid at this $y$-value.

Step3: Identify line type for $x=6$

$x=6$ is a vertical line: for every $y$-value, $x$ equals $6$. It passes through all points $(6, y)$ where $y$ is any real number.

Step4: Plot $x=6$ on the grid

Locate $x=6$ on the horizontal axis, then draw a straight vertical line across the entire grid at this $x$-value.

Answer:

• $y=-4$: A horizontal line passing through all points where the $y$-coordinate is $-4$, spanning the entire grid horizontally.
• $x=6$: A vertical line passing through all points where the $x$-coordinate is $6$, spanning the entire grid vertically.