4x+5y=0

Subtract 4x from both sides of the equation.

5y=-4x

Divide each term by 5 and simplify.

Divide each term in 5y=-4x by 5.

5y5=-4×5

Cancel the common factor of 5.

Cancel the common factor.

5y5=-4×5

Divide y by 1.

y=-4×5

y=-4×5

Move the negative in front of the fraction.

y=-4×5

y=-4×5

y=-4×5

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=-45

b=0

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

Slope: -45

y-intercept: 0

Slope: -45

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)=-4(0)5

Simplify the result.

Cancel the common factor of 0 and 5.

Factor 5 out of 4(0).

f(0)=-5(4⋅(0))5

Cancel the common factors.

Factor 5 out of 5.

f(0)=-5(4⋅(0))5(1)

Cancel the common factor.

f(0)=-5(4⋅(0))5⋅1

Rewrite the expression.

f(0)=-4⋅(0)1

Divide 4⋅(0) by 1.

f(0)=-(4⋅(0))

f(0)=-(4⋅(0))

f(0)=-(4⋅(0))

Multiply by zero.

Multiply 4 by 0.

f(0)=-0

Multiply -1 by 0.

f(0)=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)=-4(1)5

Simplify the result.

Multiply 4 by 1.

f(1)=-45

The final answer is -45.

-45

-45

The y value at x=1 is -45.

y=-45

y=-45

Create a table of the x and y values.

xy001-45

xy001-45

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

Slope: -45

y-intercept: 0

xy001-45

Graph 4x+5y=0