3y-3x=7

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

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

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

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.

Add 0 and 73.

f(0)=73

The final answer is 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

Add 3 and 7.

f(1)=103

The final answer is 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