What is the equation of a line that passes through the point (8,1) and is perpendicular to the line whose equation is y= -2/3 x + 5? a) 2x+3y= 15 b) y= -2/3x + 11 c) y= 3/2x+ 11 d) y= 3/2x - 11 i am thinking its b but am not sure. i don't wanna retake this so i wanna be 100%.

The equation of this line would be y = 3/2x - 11, which is the answer D.

Step-by-step explanation:

In order to find this equation we must first find the slope of the original line. The original slope (the coefficient of x) is -2/3, which means the new slope will also be 3/2 because perpendicular lines have opposite and reciprocal slopes. Now, we can use this slope along with the point in point-slope form to find the equation of the line.

y - y1 = m(x - x1)

y - 1 = 3/2(x - 8)

y - 1 = 3/2x - 12

y = 3/2x - 11

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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the first dot plot best represents the data

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