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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\n

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+nbetheimageofx−axis whereslope=m=tan2α;[tanα=2] m=2.21−4=−43.Theliney=mx+n passesthroughatpoint(−1,0). sowegety=−43(x+1)+0 ⇔y=−43x−43.

Commented byEDWIN88 last updated on 14/Apr/21

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