# Graph 9x+8y=-5

9x+8y=-5
Solve for y.
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
Rewrite in slope-intercept form.
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
Use the slope-intercept form to find the slope and y-intercept.
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
Any line can be graphed using two points. Select two x values, and plug them into the equation to find the corresponding y values.
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
-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
-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