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worksheet 4.1 (7.5) hour 8 2. | $x$ | $y=-2x+5$ | $y$ | | ---- | ---- |…

Question

worksheet 4.1 (7.5)
hour 8
2.

$x$$y=-2x+5$$y$
$-1$$y=-2\cdot-1+5$$7$
2$y=-2\cdot2+5$$1$
0$y=-2\cdot0+5$$5$

Explanation:

Step1: Substitute x=5 into equation

$y=-2(5)+5 = -10+5$

Step2: Calculate y for x=5

$y=-5$

Step3: Substitute x=-1 into equation

$y=-2(-1)+5 = 2+5$

Step4: Calculate y for x=-1

$y=7$

Step5: Substitute x=2 into equation

$y=-2(2)+5 = -4+5$

Step6: Calculate y for x=2

$y=1$

Step7: Substitute x=0 into equation

$y=-2(0)+5 = 0+5$

Step8: Calculate y for x=0

$y=5$

Answer:

$x$$y=-2x+5$$y$
-1$y=-2(-1)+5$$7$
2$y=-2(2)+5$$1$
0$y=-2(0)+5$$5$

All the calculated values of $y$ match the filled-in values in the table, confirming they are correct.