Algebra Examples

Find the Parallel Line (4,-2) 4x+7y=9
Step 1
Rewrite in slope-intercept form.
Tap for more steps...
Step 1.1
The slope-intercept form is , where is the slope and is the y-intercept.
Step 1.2
Subtract from both sides of the equation.
Step 1.3
Divide each term in by and simplify.
Tap for more steps...
Step 1.3.1
Divide each term in by .
Step 1.3.2
Simplify the left side.
Tap for more steps...
Step 1.3.2.1
Cancel the common factor of .
Tap for more steps...
Step 1.3.2.1.1
Cancel the common factor.
Step 1.3.2.1.2
Divide by .
Step 1.3.3
Simplify the right side.
Tap for more steps...
Step 1.3.3.1
Move the negative in front of the fraction.
Step 1.4
Write in form.
Tap for more steps...
Step 1.4.1
Reorder and .
Step 1.4.2
Reorder terms.
Step 1.4.3
Remove parentheses.
Step 2
Using the slope-intercept form, the slope is .
Step 3
To find an equation that is parallel, the slopes must be equal. Find the parallel line using the point-slope formula.
Step 4
Use the slope and a given point to substitute for and in the point-slope form , which is derived from the slope equation .
Step 5
Simplify the equation and keep it in point-slope form.
Step 6
Solve for .
Tap for more steps...
Step 6.1
Simplify .
Tap for more steps...
Step 6.1.1
Rewrite.
Step 6.1.2
Simplify by adding zeros.
Step 6.1.3
Apply the distributive property.
Step 6.1.4
Combine and .
Step 6.1.5
Multiply .
Tap for more steps...
Step 6.1.5.1
Multiply by .
Step 6.1.5.2
Combine and .
Step 6.1.5.3
Multiply by .
Step 6.1.6
Move to the left of .
Step 6.2
Move all terms not containing to the right side of the equation.
Tap for more steps...
Step 6.2.1
Subtract from both sides of the equation.
Step 6.2.2
To write as a fraction with a common denominator, multiply by .
Step 6.2.3
Combine and .
Step 6.2.4
Combine the numerators over the common denominator.
Step 6.2.5
Simplify the numerator.
Tap for more steps...
Step 6.2.5.1
Multiply by .
Step 6.2.5.2
Subtract from .
Step 6.3
Write in form.
Tap for more steps...
Step 6.3.1
Reorder terms.
Step 6.3.2
Remove parentheses.
Step 7