# Graph 3x+4y=16

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 .
Write in form.
Reorder terms.
Remove parentheses.
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.
Find the x-intercept.
To find the x-intercept(s), substitute in for and solve for .
Solve the equation.
Rewrite the equation as .
Subtract from both sides of the equation.
Multiply both sides of the equation by .
Simplify both sides of the equation.
Simplify .
Cancel the common factor of .
Move the leading negative in into the numerator.
Move the leading negative in into the numerator.
Factor out of .
Cancel the common factor.
Rewrite the expression.
Cancel the common factor of .
Factor out of .
Cancel the common factor.
Rewrite the expression.
Multiply.
Multiply by .
Multiply by .
Multiply .
Multiply by .
Combine and .
Multiply by .
x-intercept(s) in point form.
x-intercept(s):
x-intercept(s):
Find the y-intercept.
To find the y-intercept(s), substitute in for and solve for .
Solve the equation.
Remove parentheses.
Simplify .
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 .
y-intercept(s) in point form.
y-intercept(s):
y-intercept(s):
Create a table of the and values.
Graph the line using the slope and the y-intercept, or the points.
Slope:
y-intercept:
Graph 3x+4y=16

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