# Graph 3y-3x=7

3y-3x=7
Solve for y.
Add 3x to both sides of the equation.
3y=7+3x
Divide each term by 3 and simplify.
Divide each term in 3y=7+3x by 3.
3y3=73+3×3
Cancel the common factor of 3.
Cancel the common factor.
3y3=73+3×3
Divide y by 1.
y=73+3×3
y=73+3×3
Cancel the common factor of 3.
Cancel the common factor.
y=73+3×3
Divide x by 1.
y=73+x
y=73+x
y=73+x
y=73+x
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 73 and x.
y=x+73
y=x+73
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=1
b=73
The slope of the line is the value of m, and the y-intercept is the value of b.
Slope: 1
y-intercept: 73
Slope: 1
y-intercept: 73
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 0 to substitute in for x to find the ordered pair.
Replace the variable x with 0 in the expression.
f(0)=(0)+73
Simplify the result.
f(0)=73
73
73
The y value at x=0 is 73.
y=73
y=73
Choose 1 to substitute in for x to find the ordered pair.
Replace the variable x with 1 in the expression.
f(1)=(1)+73
Simplify the result.
Write 1 as a fraction with a common denominator.
f(1)=33+73
Combine the numerators over the common denominator.
f(1)=3+73
f(1)=103
103
103
The y value at x=1 is 103.
y=103
y=103
Create a table of the x and y values.
xy0731103
xy0731103
Graph the line using the slope and the y-intercept, or the points.
Slope: 1
y-intercept: 73
xy0731103
Graph 3y-3x=7