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Question Number 138417 by bemath last updated on 13/Apr/21
  the x axis is transformed with respect to the line y = 2x +2, determine the equation for the image
the x axis is transformed with respect to the line y = 2x +2, determine the equation for the image
Answered by EDWIN88 last updated on 14/Apr/21
let y=mx+n be the image of x−axis  where slope= m = tan 2α ; [ tan α=2 ]  m = ((2.2)/(1−4)) = −(4/3). The line y=mx+n   passes through at point (−1,0) .   so we get y=−(4/3)(x+1)+0  ⇔ y = −(4/3)x−(4/3).
lety=mx+nbetheimageofxaxiswhereslope=m=tan2α;[tanα=2]m=2.214=43.Theliney=mx+npassesthroughatpoint(1,0).sowegety=43(x+1)+0y=43x43.
Commented by EDWIN88 last updated on 14/Apr/21

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