Question

Need done ASAP for brainliest

Answer 1

Answer:

$x-6y=-9$

Correct answer: Option b

Step-by-step explanation:

Equation Of A Line

The standard equation of a line is given by

$y=mx+b$

Where m is the slope of the line and can be computed as

$\displaystyle m=\frac{d-b}{c-a}$

Where (a,b), (c,d) are two known points of the line. Let's use the points (-3, 1), (3, 2)

$\displaystyle m=\frac{2-1}{3+3}$

$\displaystyle m=\frac{1}{6}$

The value of b can be obtained by using any point and the value of m. Let's use (3,2)

$\displaystyle 2=\frac{1}{6}(3)+b$

$b=2-\frac{1}{2}=\frac{3}{2}$

The equation of the line is

$y=\frac{1}{6}x+\frac{3}{2}$

Multiplying by 6

$6y=x+9$

Rearranging

$x-6y=-9$

Correct answer: Option b