4(7y+x)=4

Subtract 4x from both sides of the equation.

28y=4-4x

Divide each term by 28 and simplify.

Divide each term in 28y=4-4x by 28.

28y28=428+-4×28

Cancel the common factor of 28.

Cancel the common factor.

28y28=428+-4×28

Divide y by 1.

y=428+-4×28

y=428+-4×28

Simplify each term.

Cancel the common factor of 4 and 28.

Factor 4 out of 4.

y=4(1)28+-4×28

Cancel the common factors.

Factor 4 out of 28.

y=4⋅14⋅7+-4×28

Cancel the common factor.

y=4⋅14⋅7+-4×28

Rewrite the expression.

y=17+-4×28

y=17+-4×28

y=17+-4×28

Cancel the common factor of -4 and 28.

Factor 4 out of -4x.

y=17+4(-x)28

Cancel the common factors.

Factor 4 out of 28.

y=17+4(-x)4(7)

Cancel the common factor.

y=17+4(-x)4⋅7

Rewrite the expression.

y=17+-x7

y=17+-x7

y=17+-x7

Move the negative in front of the fraction.

y=17-x7

y=17-x7

y=17-x7

y=17-x7

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

y=mx+b

Reorder 17 and -x7.

y=-x7+17

Rewrite in slope-intercept form.

y=-17x+17

y=-17x+17

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

m=-17

b=17

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

Slope: -17

y-intercept: 17

Slope: -17

y-intercept: 17

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

Replace the variable x with 1 in the expression.

f(1)=-17+17

Simplify the result.

Add -17 and 17.

f(1)=0

The final answer is 0.

0

0

The y value at x=1 is 0.

y=0

y=0

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

Replace the variable x with 0 in the expression.

f(0)=-07+17

Simplify the result.

Combine the numerators over the common denominator.

f(0)=0+17

Add 0 and 1.

f(0)=17

The final answer is 17.

17

17

The y value at x=0 is 17.

y=17

y=17

Create a table of the x and y values.

xy01710

xy01710

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

Slope: -17

y-intercept: 17

xy01710

Graph 4(7y+x)=4