Is the line through points p(-3,-2) and q(2,3) perpendicular to the line through points r(10,-1) and s(15,-6)? explain. a. no, their slopes are not opposite reciprocalsb. no, their slopes are not equalc. yes, their slopes have a product of -1d. yes, their slopes are equal

Step-by-step explanation:

Line 1 passes through and .

Line 2 is perpendicular to Line 1, and passes through and .

Remember, the condition of perpenticularity between two lines is

Where is the slope of Line 1 and is the slope of Line 2.

Now, the defintion of slope is

Where we are gonna use two points.

Line 1 slope:

Using the condition of perpendicularity

As you can observe, slopes are opposite number, they aren't equal. Also, as we said before, the condition of perpendicularity is , that is, their slopes have a product of -1.

Therefore, the right choice is C.

the solution is 12x-6y