9x+8y=-5

Subtract 9x from both sides of the equation.

8y=-5-9x

Divide each term by 8 and simplify.

Divide each term in 8y=-5-9x by 8.

8y8=-58+-9×8

Cancel the common factor of 8.

Cancel the common factor.

8y8=-58+-9×8

Divide y by 1.

y=-58+-9×8

y=-58+-9×8

Simplify each term.

Move the negative in front of the fraction.

y=-58+-9×8

Move the negative in front of the fraction.

y=-58-9×8

y=-58-9×8

y=-58-9×8

y=-58-9×8

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

y=mx+b

Reorder -58 and -9×8.

y=-9×8-58

Rewrite in slope-intercept form.

y=-98x-58

y=-98x-58

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

m=-98

b=-58

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

Slope: -98

y-intercept: -58

Slope: -98

y-intercept: -58

Choose 3 to substitute in for x to find the ordered pair.

Replace the variable x with 3 in the expression.

f(3)=-9(3)8-58

Simplify the result.

Multiply 9 by 3.

f(3)=-278-58

Combine the numerators over the common denominator.

f(3)=-27-58

Subtract 5 from -27.

f(3)=-328

Divide -32 by 8.

f(3)=-4

The final answer is -4.

-4

-4

The y value at x=3 is -4.

y=-4

y=-4

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)8-58

Simplify the result.

Simplify each term.

Cancel the common factor of 0 and 8.

Factor 8 out of 9(0).

f(0)=-8(9⋅(0))8-58

Cancel the common factors.

Factor 8 out of 8.

f(0)=-8(9⋅(0))8(1)-58

Cancel the common factor.

f(0)=-8(9⋅(0))8⋅1-58

Rewrite the expression.

f(0)=-9⋅(0)1-58

Divide 9⋅(0) by 1.

f(0)=-(9⋅(0))-58

f(0)=-(9⋅(0))-58

f(0)=-(9⋅(0))-58

Multiply 9 by 0.

f(0)=-0-58

Multiply -1 by 0.

f(0)=0-58

f(0)=0-58

Subtract 58 from 0.

f(0)=-58

The final answer is -58.

-58

-58

The y value at x=0 is -58.

y=-58

y=-58

Create a table of the x and y values.

xy0-583-4

xy0-583-4

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

Slope: -98

y-intercept: -58

xy0-583-4

Graph 9x+8y=-5