# Find Any Equation Parallel to the Line 3x+15y=23 Choose a point that the parallel line will pass through.
Rewrite in slope-intercept form.
The slope-intercept form is , where is the slope and is the y-intercept.
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 .
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.
Move the negative in front of the fraction.
Reorder and .
Rewrite in slope-intercept form.
Using the slope-intercept form, the slope is .
To find an equation that is parallel, the slopes must be equal. Find the parallel line using the pointslope formula.
Use the slope and a given point to substitute for and in the point-slope form , which is derived from the slope equation .
Simplify the equation and keep it in point-slope form.
Solve for .
Simplify .
Combine and .
Reorder terms.
Remove parentheses.
Find Any Equation Parallel to the Line 3x+15y=23

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