x+4y=16

Subtract x from both sides of the equation.

4y=16-x

Divide each term by 4 and simplify.

Divide each term in 4y=16-x by 4.

4y4=164+-x4

Cancel the common factor of 4.

Cancel the common factor.

4y4=164+-x4

Divide y by 1.

y=164+-x4

y=164+-x4

Simplify each term.

Divide 16 by 4.

y=4+-x4

Move the negative in front of the fraction.

y=4-x4

y=4-x4

y=4-x4

y=4-x4

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 -x4.

y=-x4+4

Rewrite in slope-intercept form.

y=-14x+4

y=-14x+4

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

m=-14

b=4

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

Slope: -14

y-intercept: 4

Slope: -14

y-intercept: 4

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

Replace the variable x with 0 in the expression.

f(0)=-04+4

Simplify the result.

Simplify each term.

Divide 0 by 4.

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

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

Replace the variable x with 1 in the expression.

f(1)=-14+4

Simplify the result.

To write 4 as a fraction with a common denominator, multiply by 44.

f(1)=-14+4⋅44

Combine 4 and 44.

f(1)=-14+4⋅44

Combine the numerators over the common denominator.

f(1)=-1+4⋅44

Simplify the numerator.

Multiply 4 by 4.

f(1)=-1+164

Add -1 and 16.

f(1)=154

f(1)=154

The final answer is 154.

154

154

The y value at x=1 is 154.

y=154

y=154

Create a table of the x and y values.

xy041154

xy041154

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

Slope: -14

y-intercept: 4

xy041154

Graph x+4y=16