Find the set of points that are part of a line that is perpendicular to the line y = ­-3x
a) (-3,-3), (3.-5)
b) (-6,-1), (3,2)
c) (-1, -1), (1, 5)
d) (3, -6), (-1, 6)

the answer is c. (-1, -1), (1, 5)

Step-by-step explanation:

perpindicular lines have reciprocal slopes.

reciprocal terms are two identical numbers, but with opposite signs.

the slope in y= -3x is -3, and the slope in (-1, -1), (1, 5) is 3.

b) (-6,-1), (3,2)

Step-by-step explanation:

We have an equation for a line that is:

where the number is the slope of the line, i will call this number , so

to be a perpendicular line, the slope of the new line must satisfy the following:

and since

so now we check which one of the options is part of a line with  a slope of 1/3, using the formula for the slope:

slope: , this set of points is NOT part of a perpendicular line.

slope:  this set of points are part of a perpendicular line because the slope of the line between them is which is the condition to be a perpendicular line.

8

step-by-step explanation:

to find the amount of gift bags to use all the supplies, find the gcf or greatest common factor. this is the largest number which multiplies evenly into each term.

48 has factors: 1, 2, 3, 4, 6, 8, 12. 16, 24, 48

80 has factors: 1, 2, 4, 5, 8, 10, 16, 20, 40, 80

64 has factors: 1, 2, 4, 8, 8, 16, 32, 64

the highest number factor they all share in common is 8. this means there will be 8 bags with 6 pencils, 10 markers, and 8 stickers in each bag.