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the paper didnt explain how to do this clearly could you take me step by step how to do this

The Paper Didnt Explain How To Do This Clearly Could You Take Me Step By Step How To Do This class=

Sagot :

Given data:

The given point is (2,-2).

The equation of the line is y= -2x+3.

The standard equation of the line is,

[tex]y=mx+c[/tex]

Compare the given equation with the above equation.

[tex]m=-2[/tex]

Two parallel lines have equal slope, the equation of the line parallel to the given line and passing through (2, -2) is,

[tex]\begin{gathered} y-(-2)=m(x-2) \\ y+2=-2(x-2) \\ y+2=-2x+4 \\ y=-2x+2 \end{gathered}[/tex]

Thus, the equation of the line is y= -2x+2.