Sara is trying to find an equation for a line that passes through (5, 2) and is perpendicular to 3x + 2y = 15. explain the steps that sara could take to determine the equation. a) write 3x + 2y = 15 in slope-intercept form. then, substitute the slope of that line and the point (5, 2) into the point-slope formula. b) write 3x + 2y = 15 in slope-intercept form. then, substitute the reciprocal of the slope of that line and the point (5, 2) into the point-slope formula. c) write 3x + 2y = 15 in slope-intercept form. then, substitute the opposite reciprocal of the slope of that line and the point (5, 2) into the point-slope formula. d) write 3x + 2y = 15 in slope-intercept form. then, substitute the opposite reciprocal of the slope of that line and the point (0, 0) into the point-slope formula.

Runners run around the school's football field. the cross country coach determines that the width of the field is seventy yards shorter than the length. part a write an expression that represents the perimeter of the football field. let x represent the length of the football field. include parentheses in your expression. next, write an equivalent expression that does not include parentheses. what property or properties did you use to simplify? explain. part b the cross country coach later determines that the length of the football field is 120 yards. all students must run five laps. using your answer from part a, determine the actual number of yards that each athlete must run in the tryouts. in order to make the team, students must complete the laps in 6 minutes. how quickly must they run each lap?