-x+2y=9

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

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

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

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

Add 1 and 9.

f(1)=102

Divide 10 by 2.

f(1)=5

The final answer is 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

Add 3 and 9.

f(3)=122

Divide 12 by 2.

f(3)=6

The final answer is 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