Straight Lines

For two lines to be perpendicular, the product of their slopes must be . We first find the slopes of the given lines.
1. Equation of first line: Rearranging the equation in the slope-intercept form : So, the slope of the first line is . 2. Equation of second line: Rearranging this equation into slope-intercept form: So, the slope of the second line is . For the lines to be perpendicular: Substituting the values of and : Thus, the correct answer is .

The formula to calculate the perpendicular distance between two parallel lines and is: For the lines and , we have , , , and . Substitute into the formula: Thus, the perpendicular distance between the two lines is units.