Answered

IDNLearn.com: Your destination for reliable and timely answers to any question. Join our community to receive prompt, thorough responses from knowledgeable experts.

Write the equation For a Line that intersects points(1,3) And (2,5) which one is a.y=x+2 B.y=2x+1. C.y=3x-3. D.Y=-x+3 For me is letter B.please help

Sagot :

Konrad509idn
[tex]3=a\cdot1+b\\ 5=a\cdot2+b\\\\ b=3-a\\ 2a+b=5\\\\ 2a+3-a=5\\ a=2\\\\ b=3-2\\ b=1\\\\ y=2x+1 \Rightarrow B[/tex]
Lilithidn
[tex](1,3) ,\ \ (2,5) \\ \\ \\ First \ find \ the \ slope \ of \ the \ line \ thru \ the \ points \: \\ \\ m= \frac{y_{2}-y_{1}}{x_{2}-x_{1} } \\ \\m=\frac{5-3}{2-1} = \frac{2}{1}=2 \\ \\Now \ use \ y = mx + b \ with \ either \ point \ to \ find \ b, \ the \ y-intercept \ : \\ \\ y=mx+b \\ \\3=2 \cdot 1+b\\ \\3= 2 +b \\ \\b=3-2=1 \\ \\ y=2x+1 \ is \ the \ answer \ B[/tex]
Thank you for using this platform to share and learn. Don't hesitate to keep asking and answering. We value every contribution you make. IDNLearn.com has the solutions to your questions. Thanks for stopping by, and see you next time for more reliable information.