9x+8y=0

Subtract 9x from both sides of the equation.

8y=-9x

Divide each term by 8 and simplify.

Divide each term in 8y=-9x by 8.

8y8=-9×8

Cancel the common factor of 8.

Cancel the common factor.

8y8=-9×8

Divide y by 1.

y=-9×8

y=-9×8

Move the negative in front of the fraction.

y=-9×8

y=-9×8

y=-9×8

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=-98

b=0

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

Slope: -98

y-intercept: 0

Slope: -98

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)=-9(0)8

Simplify the result.

Cancel the common factor of 0 and 8.

Factor 8 out of 9(0).

f(0)=-8(9⋅(0))8

Cancel the common factors.

Factor 8 out of 8.

f(0)=-8(9⋅(0))8(1)

Cancel the common factor.

f(0)=-8(9⋅(0))8⋅1

Rewrite the expression.

f(0)=-9⋅(0)1

Divide 9⋅(0) by 1.

f(0)=-(9⋅(0))

f(0)=-(9⋅(0))

f(0)=-(9⋅(0))

Multiply by zero.

Multiply 9 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)=-9(1)8

Simplify the result.

Multiply 9 by 1.

f(1)=-98

The final answer is -98.

-98

-98

The y value at x=1 is -98.

y=-98

y=-98

Create a table of the x and y values.

xy001-98

xy001-98

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

Slope: -98

y-intercept: 0

xy001-98

Graph 9x+8y=0