Answer:
[tex]x-6y=-9[/tex]
Correct answer: Option b
Step-by-step explanation:
Equation Of A Line
The standard equation of a line is given by
[tex]y=mx+b[/tex]
Where m is the slope of the line and can be computed as
[tex]\displaystyle m=\frac{d-b}{c-a}[/tex]
Where (a,b), (c,d) are two known points of the line. Let's use the points (-3, 1), (3, 2)
[tex]\displaystyle m=\frac{2-1}{3+3}[/tex]
[tex]\displaystyle m=\frac{1}{6}[/tex]
The value of b can be obtained by using any point and the value of m. Let's use (3,2)
[tex]\displaystyle 2=\frac{1}{6}(3)+b[/tex]
[tex]b=2-\frac{1}{2}=\frac{3}{2}[/tex]
The equation of the line is
[tex]y=\frac{1}{6}x+\frac{3}{2}[/tex]
Multiplying by 6
[tex]6y=x+9[/tex]
Rearranging
[tex]x-6y=-9[/tex]
Correct answer: Option b
