Find Any Equation Perpendicular to the Line 5x-4y-8=0

Math
Choose a point that the perpendicular line will pass through.
Solve .
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Move all terms not containing to the right side of the equation.
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Subtract from both sides of the equation.
Add to both sides of the equation.
Divide each term by and simplify.
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Divide each term in by .
Cancel the common factor of .
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Cancel the common factor.
Divide by .
Simplify each term.
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Dividing two negative values results in a positive value.
Divide by .
Use the slope-intercept form to find the slope.
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The slope-intercept form is , where is the slope and is the y-intercept.
Using the slope-intercept form, the slope is .
The equation of a perpendicular line must have a slope that is the negative reciprocal of the original slope.
Simplify to find the slope of the perpendicular line.
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Multiply the numerator by the reciprocal of the denominator.
Multiply by .
Find the equation of the perpendicular line using the pointslope formula.
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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.
Write in form.
Find Any Equation Perpendicular to the Line 5x-4y-8=0

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