x+2y=8

Subtract x from both sides of the equation.

2y=8-x

Divide each term by 2 and simplify.

Divide each term in 2y=8-x by 2.

2y2=82+-x2

Cancel the common factor of 2.

Cancel the common factor.

2y2=82+-x2

Divide y by 1.

y=82+-x2

y=82+-x2

Simplify each term.

Divide 8 by 2.

y=4+-x2

Move the negative in front of the fraction.

y=4-x2

y=4-x2

y=4-x2

y=4-x2

The slope-intercept form is y=mx+b, where m is the slope and b is the y-intercept.

y=mx+b

Reorder 4 and -x2.

y=-x2+4

Rewrite in slope-intercept form.

y=-12x+4

y=-12x+4

Find the values of m and b using the form y=mx+b.

m=-12

b=4

The slope of the line is the value of m, and the y-intercept is the value of b.

Slope: -12

y-intercept: 4

Slope: -12

y-intercept: 4

Choose 2 to substitute in for x to find the ordered pair.

Replace the variable x with 2 in the expression.

f(2)=-22+4

Simplify the result.

Simplify each term.

Divide 2 by 2.

f(2)=-1⋅1+4

Multiply -1 by 1.

f(2)=-1+4

f(2)=-1+4

Add -1 and 4.

f(2)=3

The final answer is 3.

3

3

The y value at x=2 is 3.

y=3

y=3

Choose 0 to substitute in for x to find the ordered pair.

Replace the variable x with 0 in the expression.

f(0)=-02+4

Simplify the result.

Simplify each term.

Divide 0 by 2.

f(0)=-0+4

Multiply -1 by 0.

f(0)=0+4

f(0)=0+4

Add 0 and 4.

f(0)=4

The final answer is 4.

4

4

The y value at x=0 is 4.

y=4

y=4

Create a table of the x and y values.

xy0423

xy0423

Graph the line using the slope and the y-intercept, or the points.

Slope: -12

y-intercept: 4

xy0423

Graph x+2y=8