Given the points (3, 2) and (6, 4), which of the following are true about the line passing through these points? the line has a slope of . the line represents a direct variation function. the line has a slope of . the point (-6, 9) is also on the line.

The slope is 2/3 and the function is y=2/3x  which is a direct variation function.

Step-by-step explanation:

To find the slope of a line between two points, we use the equation

m = (y2-y1)/ (x2-x1)

where (x1,y1) and (x2,y2) are the two points

m= (4-2)/(6-3)

  = 2/3

The slope of the line is 2/3

The equation of the line is

y-y1 = m(x-x1)

y-2 = 2/3(x-3)

Distribute

y-2 = 2/3x -2

Add 2 to each side

y-2+2 = 2/3x -2+2

y = 2/3x

This is a direct variation function

Let x = -6

y = 2/3(-6)

y = -4

(-6,-4)

eight hundred an fifty one point four hundred and fifteen

800+50+1+.4+.01+.005

the unknown side length of the golden rectangle with the given side length l = 9 is s = 5.56  

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step-by-step explanation: