# Graph 9x+7y=0

9x+7y=0
Solve for y.
Subtract 9x from both sides of the equation.
7y=-9x
Divide each term by 7 and simplify.
Divide each term in 7y=-9x by 7.
7y7=-9×7
Cancel the common factor of 7.
Cancel the common factor.
7y7=-9×7
Divide y by 1.
y=-9×7
y=-9×7
Move the negative in front of the fraction.
y=-9×7
y=-9×7
y=-9×7
Use the slope-intercept form to find the slope and y-intercept.
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=-97
b=0
The slope of the line is the value of m, and the y-intercept is the value of b.
Slope: -97
y-intercept: 0
Slope: -97
y-intercept: 0
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)7
Simplify the result.
Cancel the common factor of 0 and 7.
Factor 7 out of 9(0).
f(0)=-7(9⋅(0))7
Cancel the common factors.
Factor 7 out of 7.
f(0)=-7(9⋅(0))7(1)
Cancel the common factor.
f(0)=-7(9⋅(0))7⋅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
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)7
Simplify the result.
Multiply 9 by 1.
f(1)=-97
-97
-97
The y value at x=1 is -97.
y=-97
y=-97
Create a table of the x and y values.
xy001-97
xy001-97
Graph the line using the slope and the y-intercept, or the points.
Slope: -97
y-intercept: 0
xy001-97
Graph 9x+7y=0