x+4y=7

Subtract x from both sides of the equation.

4y=7-x

Divide each term by 4 and simplify.

Divide each term in 4y=7-x by 4.

4y4=74+-x4

Cancel the common factor of 4.

Cancel the common factor.

4y4=74+-x4

Divide y by 1.

y=74+-x4

y=74+-x4

Move the negative in front of the fraction.

y=74-x4

y=74-x4

y=74-x4

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

y=mx+b

Reorder 74 and -x4.

y=-x4+74

Rewrite in slope-intercept form.

y=-14x+74

y=-14x+74

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

m=-14

b=74

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

Slope: -14

y-intercept: 74

Slope: -14

y-intercept: 74

Choose 3 to substitute in for x to find the ordered pair.

Replace the variable x with 3 in the expression.

f(3)=-34+74

Simplify the result.

Combine the numerators over the common denominator.

f(3)=-3+74

Add -3 and 7.

f(3)=44

Divide 4 by 4.

f(3)=1

The final answer is 1.

1

1

The y value at x=3 is 1.

y=1

y=1

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

Replace the variable x with 0 in the expression.

f(0)=-04+74

Simplify the result.

Combine the numerators over the common denominator.

f(0)=0+74

Add 0 and 7.

f(0)=74

The final answer is 74.

74

74

The y value at x=0 is 74.

y=74

y=74

Create a table of the x and y values.

xy07431

xy07431

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

Slope: -14

y-intercept: 74

xy07431

Graph x+4y=7