Line L passes through the points (0 - 3) and (6,9).
(a) Find the equation of line L.

(b) Find the equation of the line that is perpendicular to line L and passes through the point (0.2).

The equation of line L passes through the points (0 - 3) and (6,9) is

y = 2x - 3

The equation of a line that is perpendicular to line L and passes through the point (0.2) is 2y + x = 4

The standard formula for finding the equation of a line is expressed as:

m is the slope of the line

b is the y-intercept

Get the slope of the line:

The y-intercept of the line is -3

Get the equation of a line:

y = mx + b

y = 2x - 3

Hence the equation of line L passes through the points (0 - 3) and (6,9) is

y = 2x - 3

The equation of the line perpendicular to the line L has a slope of -1/2

The equation of the line that is perpendicular to line L and passes through the point (0, 2) is y - 2 = -1/2(x-0)

y - 2 = -1/2x

2(y - 2) = -x

2y - 4 = -x

2y + x = 4

Hence the equation of a line that is perpendicular to line L and passes through the point (0.2) is 2y + x = 4

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a)  find the slope of the line using the given points.

Slope:  9 - -3/6-0 then slope is 12/6 which is 2

Then using formula:  y = mx+b

-3 = 2(0) + b

b = -3

The equation is:  y = 2x -3

B. Slope of a perpendicular is -reciprocal of first line. So here the slope will be -1/2

y = mx + b is used again

2 = -1/2(0) + b

b = 2

The equation is:  y = -1/2x +2

answer: options?

step-by-step explanation:

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.