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QUESTION IMAGE

y = -4x | x | y | | -2 | | | -1 | | | 0 | | | 2 | |

Question

y = -4x

xy
-2
-1
0
2

Explanation:

Step1: Substitute $x=-2$ into $y=-4x$

$y = -4\times(-2) = 8$

Step2: Substitute $x=-1$ into $y=-4x$

$y = -4\times(-1) = 4$

Step3: Substitute $x=0$ into $y=-4x$

$y = -4\times0 = 0$

Step4: Substitute $x=2$ into $y=-4x$

$y = -4\times2 = -8$

Step5: Plot points for graphing

Points: $(-2, 8)$, $(-1, 4)$, $(0, 0)$, $(2, -8)$; draw a straight line through them.

Answer:

Completed table:

$x$$y$
-14
00
2-8

The graph is a straight line passing through the points $(-2, 8)$, $(-1, 4)$, $(0, 0)$, and $(2, -8)$, extending infinitely in both directions.