# Graph 9x+5y=30 9x+5y=30
Solve for y.
Subtract 9x from both sides of the equation.
5y=30-9x
Divide each term by 5 and simplify.
Divide each term in 5y=30-9x by 5.
5y5=305+-9×5
Cancel the common factor of 5.
Cancel the common factor.
5y5=305+-9×5
Divide y by 1.
y=305+-9×5
y=305+-9×5
Simplify each term.
Divide 30 by 5.
y=6+-9×5
Move the negative in front of the fraction.
y=6-9×5
y=6-9×5
y=6-9×5
y=6-9×5
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 6 and -9×5.
y=-9×5+6
Rewrite in slope-intercept form.
y=-95x+6
y=-95x+6
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=-95
b=6
The slope of the line is the value of m, and the y-intercept is the value of b.
Slope: -95
y-intercept: 6
Slope: -95
y-intercept: 6
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 0 to substitute in for x to find the ordered pair.
Replace the variable x with 0 in the expression.
f(0)=-9(0)5+6
Simplify the result.
Simplify each term.
Cancel the common factor of 0 and 5.
Factor 5 out of 9(0).
f(0)=-5(9⋅(0))5+6
Cancel the common factors.
Factor 5 out of 5.
f(0)=-5(9⋅(0))5(1)+6
Cancel the common factor.
f(0)=-5(9⋅(0))5⋅1+6
Rewrite the expression.
f(0)=-9⋅(0)1+6
Divide 9⋅(0) by 1.
f(0)=-(9⋅(0))+6
f(0)=-(9⋅(0))+6
f(0)=-(9⋅(0))+6
Multiply 9 by 0.
f(0)=-0+6
Multiply -1 by 0.
f(0)=0+6
f(0)=0+6
f(0)=6
6
6
The y value at x=0 is 6.
y=6
y=6
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)5+6
Simplify the result.
Multiply 9 by 3.
f(3)=-275+6
To write 6 as a fraction with a common denominator, multiply by 55.
f(3)=-275+6⋅55
Combine 6 and 55.
f(3)=-275+6⋅55
Combine the numerators over the common denominator.
f(3)=-27+6⋅55
Simplify the numerator.
Multiply 6 by 5.
f(3)=-27+305
f(3)=35
f(3)=35
35
35
The y value at x=3 is 35.
y=35
y=35
Create a table of the x and y values.
xy06335
xy06335
Graph the line using the slope and the y-intercept, or the points.
Slope: -95
y-intercept: 6
xy06335
Graph 9x+5y=30     