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y = 3 - x there is a table with columns x and y, and rows with x values…

Question

y = 3 - x
there is a table with columns x and y, and rows with x values -4, -1, 1, 5, 7 and corresponding y values 7, 4, 2, -2, -4 filled in red. there is also a coordinate grid with x and y axes.

Explanation:

Step1: Verify table values

For each $x$, calculate $y=3-x$:

  • $x=-4$: $y=3-(-4)=7$
  • $x=-1$: $y=3-(-1)=4$
  • $x=1$: $y=3-1=2$
  • $x=5$: $y=3-5=-2$
  • $x=7$: $y=3-7=-4$

All table values are correct.

Step2: Plot coordinate points

Mark the points on the grid:
$(-4,7)$, $(-1,4)$, $(1,2)$, $(5,-2)$, $(7,-4)$

Step3: Draw the straight line

Connect the plotted points to form a continuous line, extending it across the grid.

Answer:

The table values are verified as correct, and the line $y=3-x$ is graphed by plotting the points $(-4,7)$, $(-1,4)$, $(1,2)$, $(5,-2)$, $(7,-4)$ and connecting them with a straight line.