7x-3y=2

Subtract 7x from both sides of the equation.

-3y=2-7x

Divide each term by -3 and simplify.

Divide each term in -3y=2-7x by -3.

-3y-3=2-3+-7x-3

Cancel the common factor of -3.

Cancel the common factor.

-3y-3=2-3+-7x-3

Divide y by 1.

y=2-3+-7x-3

y=2-3+-7x-3

Simplify each term.

Move the negative in front of the fraction.

y=-23+-7x-3

Dividing two negative values results in a positive value.

y=-23+7×3

y=-23+7×3

y=-23+7×3

y=-23+7×3

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

y=mx+b

Reorder -23 and 7×3.

y=7×3-23

Rewrite in slope-intercept form.

y=73x-23

y=73x-23

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

m=73

b=-23

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

Slope: 73

y-intercept: -23

Slope: 73

y-intercept: -23

Choose 2 to substitute in for x to find the ordered pair.

Replace the variable x with 2 in the expression.

f(2)=7(2)3-23

Simplify the result.

Combine the numerators over the common denominator.

f(2)=7(2)-23

Simplify the numerator.

Multiply 7 by 2.

f(2)=14-23

Subtract 2 from 14.

f(2)=123

f(2)=123

Divide 12 by 3.

f(2)=4

The final answer is 4.

4

4

The y value at x=2 is 4.

y=4

y=4

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

Replace the variable x with 0 in the expression.

f(0)=7(0)3-23

Simplify the result.

Multiply 7 by 0.

f(0)=03-23

Combine the numerators over the common denominator.

f(0)=0-23

Subtract 2 from 0.

f(0)=-23

Move the negative in front of the fraction.

f(0)=-23

The final answer is -23.

-23

-23

The y value at x=0 is -23.

y=-23

y=-23

Create a table of the x and y values.

xy0-2324

xy0-2324

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

Slope: 73

y-intercept: -23

xy0-2324

Graph 7x-3y=2