What-is-the-reflection-of-the-point-2-2-in-the-line-x-2y-4- Tinku Tara June 3, 2023 Relation and Functions 0 Comments FacebookTweetPin Question Number 139639 by bemath last updated on 30/Apr/21 Whatisthereflectionofthepoint(2,2)inthelinex+2y=4? Commented by bramlexs22 last updated on 30/Apr/21 LetP(2,2)&P′(a,b)isthereflectionalimageofPinL.letQ(a+22,b+22)isthemidpointPP′andPQperpendiculartoL(∙)mPQ=b−2a−2;mL=−12⇒mPQ×mL=−1⇒b−2a−2=2⇒b−2=2a−4;2a−b=2(∙∙)lineLpassesthroughpointQ⇒a+22+2(b+22)=4⇒a+2+2b+4=8;a+2b=2solvingfora&b⇒a+2b=2…(×2)⇒2a+4b=42a−b=2{5b=2;b=25a=2−2b=2−45=65thereforeP′(65,25). Answered by mr W last updated on 30/Apr/21 thelinefrom(2,2)andperpendiculartolinex+2y=4isx−21=y−22=torx=2+t,y=2+2tintersectionpointwiththeline:(2+t)+2(2+2t)=4⇒t=−25theimagepointisofdoubledistance,i.e.t=2×(−25)=−45⇒x=2−45=65⇒y=2−2×45=25imageof(2,2)inlineis(65,25). Terms of Service Privacy Policy Contact: info@tinkutara.com FacebookTweetPin Post navigation Previous Previous post: n-2-k-m-n-m-k-Z-For-any-integer-n-how-many-times-can-you-divide-it-by-2-such-that-the-result-is-always-a-whole-number-e-g-120-160-2-80-80-2-40-40-2-20-20-2-10-10-2-5-5-2-Z-divides-5-tNext Next post: If-0-lt-c-2-lt-4-27-and-m-4c-2-m-1-m-2-m-1-m-2-3c-2-2-then-find-real-values-of-m-in-terms-of-c-2- Leave a Reply Cancel replyYour email address will not be published. Required fields are marked *Comment * Name * Save my name, email, and website in this browser for the next time I comment.