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c) $x + y = 9$

Question

c) $x + y = 9$

Explanation:

Step1: Find x-intercept (y=0)

Set $y=0$, solve for $x$:
$x + 0 = 9 \implies x=9$
Point: $(9, 0)$

Step2: Find y-intercept (x=0)

Set $x=0$, solve for $y$:
$0 + y = 9 \implies y=9$
Point: $(0, 9)$

Step3: Plot and connect points

Mark $(9,0)$ and $(0,9)$ on the grid, then draw a straight line through them (extending to fit the grid).

Answer:

The line $x+y=9$ is graphed by plotting the intercepts $(9, 0)$ and $(0, 9)$ and connecting them with a straight line, extending across the coordinate grid.