How do I do this math

9514 1404 393

  17.  b.  y -3 = 2/3(x +6)

  18.  b.  y -720 = 50(x -12)

  19.  d.  y -237,000 = 5000(x -8)

Step-by-step explanation:

The given equation is the "point-slope" equation for a line. In order to use it, you need to know a point on the line and the slope of the line. You do this math by identifying those numbers in the problem statement, then filling them into the equation.

__

17. You are given the point (x1, y1) = (-6, 3) and the slope m = 2/3. Put those in the given form:

  y -y1 = m(x -x1)

  y -3 = 2/3(x -(-6))

  y -3 = 2/3(x +6) . . . . . . matches choice B

__

18. The intended relation is one that relate fees to months. That is, x represents months of membership and y represents fees paid. You are given a monthly rate (slope) of $50 per month, and a point (x, y) = (12, 720) -- the fee after 12 months is $720.

Putting those into the form, you have m = 50, x1 = 12, y1 = 720, so ...

  y -y1 = m(x -x1)

  y -720 = 50(x -12) . . . . . . . matches choice B

__

18. The table gives you several points. The x-value being used is the difference between the year number and 2005. The y-value is the profit. The point that shows up in the answer choices is the last one, (x1, y1) = (8, 237000). You have to figure the slope, but the answer choices all show its magnitude is 5000. You can tell it has positive sign because the profit increases over the years. Using this point and slope in the equation form, you get ...

  y -y1 = m(x -x1)

  y -237000 = 5000(x -8) . . . . . matches choice D

The slope is ...

  (difference in profit)/(difference in years) = (237000 -197000)/(2013 -2005)

  = 40000/8 = 5000 . . . . with a positive sign

the equation of the parallel line would be y = 2x + 9

step-by-step explanation:

to start we need to find the slope of the original line. we can do that by looking at the coefficient of x, which is 2

since the slope of the original line is 2 and parallel lines have the same slope, we know the new line will also have 2 slope. now we can use that along with the point given in point-slope form to get the find equation.

y - y1 = m(x - x1)

y - 5 = 2(x + 2)

y - 5 = 2x + 4

y = 2x + 9

well

44-3-3-3=35

35+4+4+4+4=51

so the ansewr would be 51 degreesat 7: 00