Graph 3x+2y=6

Solve for .
Subtract from both sides of the equation.
Divide each term by and simplify.
Divide each term in by .
Cancel the common factor of .
Cancel the common factor.
Divide by .
Simplify each term.
Divide by .
Move the negative in front of the fraction.
Rewrite in slope-intercept form.
The slope-intercept form is , where is the slope and is the y-intercept.
Reorder and .
Rewrite in slope-intercept form.
Use the slope-intercept form to find the slope and y-intercept.
Find the values of and using the form .
The slope of the line is the value of , and the y-intercept is the value of .
Slope:
y-intercept:
Slope:
y-intercept:
Any line can be graphed using two points. Select two values, and plug them into the equation to find the corresponding values.
Choose to substitute in for to find the ordered pair.
Replace the variable with in the expression.
Simplify the result.
Simplify each term.
Cancel the common factor of .
Cancel the common factor.
Divide by .
Multiply by .
The value at is .
Choose to substitute in for to find the ordered pair.
Replace the variable with in the expression.
Simplify the result.
Simplify each term.
Cancel the common factor of and .
Factor out of .
Cancel the common factors.
Factor out of .
Cancel the common factor.
Rewrite the expression.
Divide by .
Multiply by .
Multiply by .