The correct statement are the first and the second ======================================= The first statement: y = (-2/3) x - (13/3) slope = -2/3 and passing through (4,-7) because (-2/3) *4 - (13/3) = -7 the slope of the parallel line = -4/6 = -2/3 ============================================================ The second statement y = (-7/2) x - (5/2) slope = -7/2 and passing through (-3,8) because (-7/2) *-3 - (5/2) = 8 the slope of the perpendicular line = 2/7 the multiplication of the two slopes = -7/2 * 2/7 = -1 ============================================================
The third is false because the lines are parallel not perpendicular
the fourth is false because the lines are perpendicular not parallel