Answered

Discover a world of knowledge at Westonci.ca, where experts and enthusiasts come together to answer your questions. Join our Q&A platform and connect with professionals ready to provide precise answers to your questions in various areas. Explore comprehensive solutions to your questions from a wide range of professionals on our user-friendly platform.

write an equation of the line that passes through the given points:
   there are four questions:

   1) (0,-1);(6,8)
   2) (3,1);(9,7)
   3) (1,2);(10,14)
   4) (0,0);(-3,5)

Sagot :

luana
y=ax+b
1) we put this points into general formula
[tex]\left \{ {{-1=a*0+b} \atop {8=6a+b}} \right.\\b=-1\\8=6a-1\\6a=9\\a= \frac{3}{2} [/tex]
[tex]y= \frac{3}{2}x-1 [/tex]
2)
[tex] \left \{ {{1=3a+b} \atop {7=9a+b}} \right. \\ b=1-3a\\7=9a+1-3a\\6a=6\\a=1\\b=1-3*1=-2\\y=x-2[/tex]
3)
[tex] \left \{ {{2=a+b} \atop {14=10a+b}} \right.\\b=2-a\\14=10a+2-a\\12=9a\\a= \frac{4}{3} \\b=2- \frac{4}{3}=\frac{2}{3}\\y=\frac{4}{3}a+\frac{2}{3}[/tex]
4)
[tex] \left \{ {{0=b} \atop {5=-3a+b}} \right.\\5=-3a\\a=- \frac{5}{3}\\y=-\frac{5}{3}a [/tex]
Your visit means a lot to us. Don't hesitate to return for more reliable answers to any questions you may have. Thank you for choosing our platform. We're dedicated to providing the best answers for all your questions. Visit us again. Thank you for using Westonci.ca. Come back for more in-depth answers to all your queries.