Question

Plot the line for the equation on the graph. y−2=−2(x+4)

Answer 1

It's (-3,-6). The -3 is the x axis and the -6 is the y axis

Answer 2

The plot of the given line is required.

The graph is shown below with two points $(0,-6)$ and $(-3,0)$.

The line is

$y-2=-2(x+4)\\\Rightarrow y=-2x-8+2\\\Rightarrow y=-2x-6$

Let us find two points on the line

$x=0$

$y=-2\times0-6=-6$

$(0,-6)$

$y=0$

$0=-2x-6\\\Rightarrow x=\dfrac{6}{-2}=-3$

$(-3,0)$

Join the two points on the graph and the line will be constructed.

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