# Graph 4(7y+x)=4 4(7y+x)=4
Solve for y.
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
Rewrite in slope-intercept form.
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
Use the slope-intercept form to find the slope and y-intercept.
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
Any line can be graphed using two points. Select two x values, and plug them into the equation to find the corresponding y values.
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.
f(1)=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
f(0)=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     