What is an equation of a line which passes through
(6,9) and is perpendicular to the line whose
equation is 4x - y = 15?

y= -1/4x + 10.5

Step-by-step explanation:

First you need to change the equation to write it in slope intercept form. Subtract 4x from both sides and then divide both sides by a negative sign.

4x - y = 15

-4x        -4x

-y = -4x +15

y = 4x+15

To find the perpendicular slope of the line you must find the inverse of the original slope. The original slope is 4x so the inverse of 4x would be -1/4x. Now that you have your slope you must find the y intercept. You can do this by inputting the x and y values into the equation of a line which is y= mx +b

9 = -1/4(6) + b

9 = -1.5 + b

+1.5         +1.5

10.5 = b



step-by-step explanation:

a.   since the profit made in 2012 is equal to the profit made in 2014, the profit is           symmetric about the line y = 120,000.

step-by-step explanation:

given that megan owns a clothing boutique.

the profits of 2010, 11, are recorded and shown as follows:

years since     2010 0     1     2     3       4       5

profits made in 1000's   39       84     111     120   111     84

we find that profit gradually increases form 2010 to 2013 upto 120,   then starts decreasing.

the profits for 2012 and 2014 are the same while that of 2011 and 2015 are also the same.

this shows that there is symmetry about the line profit = 120000

hence answer is:

a.   since the profit made in 2012 is equal to the profit made in 2014, the profit is           symmetric about the line y = 120,000.

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step-by-step explanation: