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.

-5y-5=-4x-5

Cancel the common factor of -5.

Cancel the common factor.

-5y-5=-4x-5

Divide y by 1.

y=-4x-5

y=-4x-5

Dividing two negative values results in a positive value.

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 4 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)=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.

xy00145

xy00145

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

Slope: 45

y-intercept: 0

xy00145

Graph 4x-5y=0