Question

Find th equation of the line below.If necessary, use a slash to indicate a division bar..

(2,14) (1,7)

Answer 1

General equation for line:
y=ax+b
Putting those points to equation:
(2,14)
14=a*2+b
(1,7)
7=a+b
From substituting method:
a=7-b
14=(7-b)*2+b
14=14-2b+b
b=0
a=7
y=7x - result

Answer 2

`(2,14), \ \ (1,7)\\\\\\ First \ find \ the \ slope \ of \ the \ line \ thru \ the \ points \: \\ \\ m= (y_(2)-y_(1))/(x_(2)-x_(1) ) \\ \\m=( 7-14)/(1-2) = ( -7)/(-1)=7 \\ \\ Use \ point \ form \ of \ a \ line\ with \ one \ point: \\ \\ y-y_(1) =m(x-x _(1)) \\ \\m=7, \ \ x_(1)=2, \ \ y_(1)=14\\\\y-14 =7(x-2)\\\\y = 7 x-14+14 \\\\ y=7x`