Pre-Algebra Examples

Graph 1/7x-3/7y-3/11x+6/17y
Step 1
Solve for .
Tap for more steps...
Step 1.1
Add to both sides of the equation.
Step 1.2
Multiply both sides of the equation by .
Step 1.3
Simplify both sides of the equation.
Tap for more steps...
Step 1.3.1
Simplify the left side.
Tap for more steps...
Step 1.3.1.1
Simplify .
Tap for more steps...
Step 1.3.1.1.1
Cancel the common factor of .
Tap for more steps...
Step 1.3.1.1.1.1
Move the leading negative in into the numerator.
Step 1.3.1.1.1.2
Move the leading negative in into the numerator.
Step 1.3.1.1.1.3
Factor out of .
Step 1.3.1.1.1.4
Cancel the common factor.
Step 1.3.1.1.1.5
Rewrite the expression.
Step 1.3.1.1.2
Cancel the common factor of .
Tap for more steps...
Step 1.3.1.1.2.1
Factor out of .
Step 1.3.1.1.2.2
Cancel the common factor.
Step 1.3.1.1.2.3
Rewrite the expression.
Step 1.3.1.1.3
Multiply.
Tap for more steps...
Step 1.3.1.1.3.1
Multiply by .
Step 1.3.1.1.3.2
Multiply by .
Step 1.3.2
Simplify the right side.
Tap for more steps...
Step 1.3.2.1
Simplify .
Tap for more steps...
Step 1.3.2.1.1
Cancel the common factor of .
Tap for more steps...
Step 1.3.2.1.1.1
Move the leading negative in into the numerator.
Step 1.3.2.1.1.2
Factor out of .
Step 1.3.2.1.1.3
Factor out of .
Step 1.3.2.1.1.4
Cancel the common factor.
Step 1.3.2.1.1.5
Rewrite the expression.
Step 1.3.2.1.2
Multiply by .
Step 1.3.2.1.3
Simplify the expression.
Tap for more steps...
Step 1.3.2.1.3.1
Multiply by .
Step 1.3.2.1.3.2
Multiply by .
Step 1.3.2.1.3.3
Move the negative in front of the fraction.
Step 2
Rewrite in slope-intercept form.
Tap for more steps...
Step 2.1
The slope-intercept form is , where is the slope and is the y-intercept.
Step 2.2
Write in form.
Tap for more steps...
Step 2.2.1
Reorder terms.
Step 2.2.2
Remove parentheses.
Step 3
Use the slope-intercept form to find the slope and y-intercept.
Tap for more steps...
Step 3.1
Find the values of and using the form .
Step 3.2
The slope of the line is the value of , and the y-intercept is the value of .
Slope:
y-intercept:
Slope:
y-intercept:
Step 4
Any line can be graphed using two points. Select two values, and plug them into the equation to find the corresponding values.
Tap for more steps...
Step 4.1
Write in form.
Tap for more steps...
Step 4.1.1
Reorder terms.
Step 4.1.2
Remove parentheses.
Step 4.2
Create a table of the and values.
Step 5
Graph the line using the slope and the y-intercept, or the points.
Slope:
y-intercept:
Step 6