# Find Any Equation Perpendicular to the Line -7x-5y=7

Choose a point that the perpendicular line will pass through.

Add to 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 each term.

Move the negative in front of the fraction.

Move the negative in front of the fraction.

Rewrite in slope-intercept form.

The slope-intercept form is , where is the slope and is the y-intercept.

Reorder and .

Rewrite in slope-intercept form.

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.

Cancel the common factor of and .

Rewrite as .

Move the negative in front of the fraction.

Multiply the numerator by the reciprocal of the denominator.

Multiply by .

Multiply .

Multiply by .

Multiply by .

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.

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