Question

Which of the following lines has a slope of -1/3 and a y-intercept of 6? x - 3y = 6 x + 3y = 18 3y - x = 18

Answer 1

Answer:

The correct option is 2. The equation of line is x + 3y = 18.

Step-by-step explanation:

The slope intercept form of a line is

$y=mx+b$

where, m is slope and b is y-intercept.

It is given that the slope of a line is -1/3 and a y-intercept is 6.

Substitute m=-1/3 and b=6 in the above equation.

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

Multiply both the sides by 3.

$3y=-x+18$

Add x on both the sides.

$x+3y=-x+18+x$

$x+3y=18$

The equation of line is x + 3y = 18. Therefore the correct option is 2.

Answer 2

The second choice is correct, but I believe that either its +1/3 ( in the question) or -3y as that will give you the answer of: y=1/3x+6