Question

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

Answer 1

Given data:

The given point is (2,-2).

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

The standard equation of the line is,

`y=mx+c`

Compare the given equation with the above equation.

`m=-2`

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

`\begin{gathered} y-(-2)=m(x-2) \\ y+2=-2(x-2) \\ y+2=-2x+4 \\ y=-2x+2 \end{gathered}`

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