Algebra Examples

Find the Parallel Line y=-5x+3 ; (-6,3)
;
Step 1
Use the slope-intercept form to find the slope.
Tap for more steps...
Step 1.1
The slope-intercept form is , where is the slope and is the y-intercept.
Step 1.2
Using the slope-intercept form, the slope is .
Step 2
To find an equation that is parallel, the slopes must be equal. Find the parallel line using the point-slope formula.
Step 3
Use the slope and a given point to substitute for and in the point-slope form , which is derived from the slope equation .
Step 4
Simplify the equation and keep it in point-slope form.
Step 5
Solve for .
Tap for more steps...
Step 5.1
Simplify .
Tap for more steps...
Step 5.1.1
Rewrite.
Step 5.1.2
Simplify by adding zeros.
Step 5.1.3
Apply the distributive property.
Step 5.1.4
Multiply by .
Step 5.2
Move all terms not containing to the right side of the equation.
Tap for more steps...
Step 5.2.1
Add to both sides of the equation.
Step 5.2.2
Add and .
Step 6