x=-6y

Rewrite the equation as -6y=x.

-6y=x

Divide each term by -6 and simplify.

Divide each term in -6y=x by -6.

-6y-6=x-6

Cancel the common factor of -6.

Cancel the common factor.

-6y-6=x-6

Divide y by 1.

y=x-6

y=x-6

Move the negative in front of the fraction.

y=-x6

y=-x6

y=-x6

The slope-intercept form is y=mx+b, where m is the slope and b is the y-intercept.

y=mx+b

Find the values of m and b using the form y=mx+b.

m=-16

b=0

The slope of the line is the value of m, and the y-intercept is the value of b.

Slope: -16

y-intercept: 0

Slope: -16

y-intercept: 0

Choose 0 to substitute in for x to find the ordered pair.

Replace the variable x with 0 in the expression.

f(0)=-06

Simplify the result.

Divide 0 by 6.

f(0)=-0

Multiply -1 by 0.

f(0)=0

The final answer is 0.

0

0

The y value at x=0 is 0.

y=0

y=0

Choose 1 to substitute in for x to find the ordered pair.

Replace the variable x with 1 in the expression.

f(1)=-16

The final answer is -16.

-16

The y value at x=1 is -16.

y=-16

y=-16

Create a table of the x and y values.

xy001-16

xy001-16

Graph the line using the slope and the y-intercept, or the points.

Slope: -16

y-intercept: 0

xy001-16

Graph x=-6y