# Graph -x+2y=9 -x+2y=9
Solve for y.
Add x to both sides of the equation.
2y=9+x
Divide each term by 2 and simplify.
Divide each term in 2y=9+x by 2.
2y2=92+x2
Cancel the common factor of 2.
Cancel the common factor.
2y2=92+x2
Divide y by 1.
y=92+x2
y=92+x2
y=92+x2
y=92+x2
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 92 and x2.
y=x2+92
Rewrite in slope-intercept form.
y=12x+92
y=12x+92
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=12
b=92
The slope of the line is the value of m, and the y-intercept is the value of b.
Slope: 12
y-intercept: 92
Slope: 12
y-intercept: 92
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 1 to substitute in for x to find the ordered pair.
Replace the variable x with 1 in the expression.
f(1)=12+92
Simplify the result.
Combine the numerators over the common denominator.
f(1)=1+92
f(1)=102
Divide 10 by 2.
f(1)=5
5
5
The y value at x=1 is 5.
y=5
y=5
Choose 3 to substitute in for x to find the ordered pair.
Replace the variable x with 3 in the expression.
f(3)=32+92
Simplify the result.
Combine the numerators over the common denominator.
f(3)=3+92
f(3)=122
Divide 12 by 2.
f(3)=6
6
6
The y value at x=3 is 6.
y=6
y=6
Create a table of the x and y values.
xy1536
xy1536
Graph the line using the slope and the y-intercept, or the points.
Slope: 12
y-intercept: 92
xy1536
Graph -x+2y=9     