Question

consider the equation $x - y = 7$.
a. use the table to find three ordered pairs that satisfy the equation. then use the ordered pairs to plot the points in the coordinate plane.

Explanation:

Step1: Rearrange for y

$y = x - 7$

Step2: Pick x values, solve for y

Let $x=0$: $y = 0 - 7 = -7$
Let $x=7$: $y = 7 - 7 = 0$
Let $x=10$: $y = 10 - 7 = 3$

Step3: List ordered pairs

Pairs: $(0, -7)$, $(7, 0)$, $(10, 3)$

Step4: Plot points on grid

• For $(0, -7)$: Mark at x=0, y=-7
• For $(7, 0)$: Mark at x=7, y=0
• For $(10, 3)$: Mark at x=10, y=3

Answer:

Three ordered pairs: $(0, -7)$, $(7, 0)$, $(10, 3)$
To plot:

1. Locate $(0, -7)$ on the coordinate plane (on the y-axis, 7 units below the origin)
2. Locate $(7, 0)$ on the coordinate plane (on the x-axis, 7 units to the right of the origin)
3. Locate $(10, 3)$ on the coordinate plane (10 units right, 3 units up from the origin)

Connecting these points will form the line for $x-y=7$.