x+4y=0

Subtract x from both sides of the equation.

4y=-x

Divide each term by 4 and simplify.

Divide each term in 4y=-x by 4.

4y4=-x4

Cancel the common factor of 4.

Cancel the common factor.

4y4=-x4

Divide y by 1.

y=-x4

y=-x4

Move the negative in front of the fraction.

y=-x4

y=-x4

y=-x4

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=-14

b=0

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

Slope: -14

y-intercept: 0

Slope: -14

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)=-04

Simplify the result.

Divide 0 by 4.

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)=-14

The final answer is -14.

-14

The y value at x=1 is -14.

y=-14

y=-14

Create a table of the x and y values.

xy001-14

xy001-14

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

Slope: -14

y-intercept: 0

xy001-14

Graph x+4y=0