Answered

At Westonci.ca, we connect you with experts who provide detailed answers to your most pressing questions. Start exploring now! Ask your questions and receive precise answers from experienced professionals across different disciplines. Experience the ease of finding precise answers to your questions from a knowledgeable community of experts.

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]