The graph of the equation y=-2 is a line Explain your answer 1) parallel to the x-axis 2)parallel to the y-axis 3)passing through the origin 4) passing through the point (-2,0)

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Answer:

Parallel to the x-axis

Step-by-step explanation:

Given the graph of the equation y = -2. To determine how the line will look like on Cartesian plane, first we must understand the following;

The standard form of equation of a line is y = mx+c where m is the slope and c is the intercept. Comparing this standard form to the given equation shows that the equation is in slope-intercept form.

It can also written as y = 0x-2. This shows that slope  m = 0 and the y-intercept c = -2. The graph can be graphed as y = 0x-2

The line will be an horizontal line drawn on the negative y-axis at the coordinate x = 0 and y = -2. The line will therefore be parallel to the x axis

Check the attachment for the graph.

Ver imagen abidemiokin

The graph of the equation [tex]\boldsymbol{y=-2}[/tex] is a line parallel to the [tex]\boldsymbol{x-}[/tex]axis

A graph is a pictorial representation of data or values in a well - organized manner.

The graph of the equation passes through a point [tex]\boldsymbol{(a,b)}[/tex] if it satisfies it.

The graph of the equation of the form [tex]\boldsymbol{x=a}[/tex] is parallel to the [tex]\boldsymbol{y-}[/tex]axis.

The graph of the equation of the form [tex]\boldsymbol{y=a}[/tex] is parallel to the [tex]\boldsymbol{x-}[/tex]axis.

So, the graph of the equation [tex]\boldsymbol{y=-2}[/tex] is a line parallel to the [tex]\boldsymbol{x-}[/tex]axis

Option 1) is correct.

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