Write an equation in the variables x and y for the line that passes through the point (4, 7) and that is perpendicular to the line 2x + 2y = 14. provide precise expressions, not decimal approximations.

First of all, we need to find the slope of the given line, writing it in the form and reading the coefficient:

So, the slope is

If a line with slope is perpendicular to a line with slope , the following relationship holds:

So, the slope of our line must satisfy

So, we need the equation of a line with slope 1 and passing through (4,7). Given the slope and a point of a given line, its equation is given by

So, if you plug your values, you have

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.