-x+4y=8

Add x to both sides of the equation.

4y=8+x

Divide each term by 4 and simplify.

Divide each term in 4y=8+x by 4.

4y4=84+x4

Cancel the common factor of 4.

Cancel the common factor.

4y4=84+x4

Divide y by 1.

y=84+x4

y=84+x4

Divide 8 by 4.

y=2+x4

y=2+x4

y=2+x4

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

y=mx+b

Reorder 2 and x4.

y=x4+2

Rewrite in slope-intercept form.

y=14x+2

y=14x+2

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

m=14

b=2

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

Slope: 14

y-intercept: 2

Slope: 14

y-intercept: 2

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

Replace the variable x with 0 in the expression.

f(0)=04+2

Simplify the result.

Divide 0 by 4.

f(0)=0+2

Add 0 and 2.

f(0)=2

The final answer is 2.

2

2

The y value at x=0 is 2.

y=2

y=2

Choose 1 to substitute in for x to find the ordered pair.

Replace the variable x with 1 in the expression.

f(1)=14+2

Simplify the result.

To write 2 as a fraction with a common denominator, multiply by 44.

f(1)=14+2⋅44

Combine 2 and 44.

f(1)=14+2⋅44

Combine the numerators over the common denominator.

f(1)=1+2⋅44

Simplify the numerator.

Multiply 2 by 4.

f(1)=1+84

Add 1 and 8.

f(1)=94

f(1)=94

The final answer is 94.

94

94

The y value at x=1 is 94.

y=94

y=94

Create a table of the x and y values.

xy02194

xy02194

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

Slope: 14

y-intercept: 2

xy02194

Graph -x+4y=8