Line C passes through the points (-3, -6) and (-1, -12). What is the slope of the line perpendicular to the line C? A.1/3 B. 3 C. -1/3 D.-3

Question

hat am i suppose to do? i'm confused

Answer 1

As you learned in Algebra I, two lines are perpendicular if their slopes are negative reciprocals of one another. So if one line has a slope of 4, a perpendicular line will have a slope of -1/4. If another line has a slope of -2/3, a perpendicular line will have a slope of 3/2. So compute the slope of line C using the slope formula (which you also learned in Algebra I):

slope = (y₂-y₁) / (x₂-x₁)

where (x₁, y₁) and (x₂,y₂) are the coordinates of the two points on line C given in the problem statement. Once you know the slope of line C, take its negative reciprocal to find the correct choice from A, B, C, or D.