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)

Y=ax+b
1) we put this points into general formula
\( \left \{ {{-1=a*0+b} \atop {8=6a+b}} \right. \\b=-1\\8=6a-1\\6a=9\\a= \frac{3}{2} \)
\( y= \frac{3}{2}x-1 \)
2)
\( \left \{ {{1=3a+b} \atop {7=9a+b}} \right. \\ b=1-3a\\7=9a+1-3a\\6a=6\\a=1\\b=1-3*1=-2\\y=x-2 \)
3)
\( \left \{ {{2=a+b} \atop {14=10a+b}} \right. \\b=2-a\\14=10a+2-a\\12=9a\\a= \frac{4}{3} \\b=2- \frac{4}{3}=\frac{2}{3}\\y=\frac{4}{3}a+\frac{2}{3} \)
4)
\( \left \{ {{0=b} \atop {5=-3a+b}} \right. \\5=-3a\\a=- \frac{5}{3}\\y=-\frac{5}{3}a \)


RELATED: