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Flauer [41]
2 years ago
5

Write the equation of the line that passes through the given points. (0.-2) and (-9.-6)​

Mathematics
2 answers:
sdas [7]2 years ago
4 0

Answer:

Step-by-step explanation:

First find the slope = rise/run = y2 - y1/x2 - x1

m = (-6 - 0)/(0 - 9) = -6/-9 = 2/3

Now we can substitute in the slope and either point to find b = y-intercept and write the equation:

y = mx + b

0 = 2/3(9) + b

0 = 6 + b

-6 = b

The equation is y = 2/3x -6.

kipiarov [429]2 years ago
4 0

Answer:

y= 4/9x - 2

Step-by-step explanation:

find slope by performing (y2-y1)/(x2-x1)

m=4/9

use point-slope formula with one of the points to figure out the equation of the line

y-(-2) = 4/9(x-0)

when put into slope intercept form the line is:

                             y= 4/9x - 2

HTH :)

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7 0
3 years ago
Read 2 more answers
Dale works at a mattress store, and makes a salary plus commission. He has a $500 weekly salary and makes a 5% commission for sa
Anni [7]

Answer:

1.  \( f\circ g(x)=0.05x-150

2. \( g\circ f(x)=0.05x-3000

3. The first one represents Dale's commission

Explanation:

1. The composition of the function

                                                             \( f\circ g(x)=f(g(x)) \)    

means that you first apply the function g(x) and then f(x) on the output of g(x).

That is:

  • f(x) = 0.05x
  • g(x) = x - 3000

       f(g(x)=0.05(x - 3000)

       f(g(x))=0.05x-150

2. The composition of the function

                                                             \( g\circ f(x)=g(f(x)) \)                                                                  

means that you first apply the function f(x) and then g(x) on the output of f(x).

That is:

      g(f(x))=((0.05x)-3000)=0.05x-3000

3. Which one represents Dale's commission

To calculate Dales's commision you must subtract $3,000 from the sales, to find the sales over $3000. That is: x - 3,000, which is the function g(x).

Therefore, you first use g(x).

Then, you must multiply the output of g(x) by 0.05 to find the 5% of the sales over $3,000. That is: 0.05(g((x)) = 0.05(x - 3000) = 0.05x - 150.

Therefore, the composition that represents Dale's commission is the first one:

  f(g(x)=0.05(x - 3000)

       f(g(x))=0.05x-150

4 0
3 years ago
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