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Korolek [52]
3 years ago
6

What is the slope of y-4=5/2(x-2)

Mathematics
1 answer:
OLEGan [10]3 years ago
6 0
The answer is 5/2. The equation is already in point slope form. If you recall, the equation for point slope form is y-y1 = m(x-x1) where y1 and x1 are points on the graph, and m is the slope. In the given equation, m is 5/2 so we know it is the slope.
Alternatively, if you are not familiar with the point slope for equation, you can manipulate the equation to the form of y=mx+b where m is the slope and b is the constant. If you solve for y, you get y=5/2x-1 since 5/2 is in the place of m, we know 5/2 is the slope.

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Match each graph with the correct equation written in<br> standard form. Explain your reasoning.
My name is Ann [436]

The graphs and their equations are:

  • Line 1: 6x - 2y = -10
  • Line 2: 9x - 9y = -45
  • Line 3: 3x - 12y = -60

<h3>How to determine the equations of the graphs</h3>

The three lines are linear equations, because they are all straight lines.

Also, the lines have the same y-intercept (this is so, because they cross the y-axis at the same point), but they have the same slope

Next, we rewrite the equations in slope-intercept form.

So, we have:

3x - 12y = -60

Divide through by -12

-0.25x +y = 5

Make y the subject

y = 0.25x + 5

6x - 2y = -10

Divide through by 2

3x - y = -5

Make y the subject

y = 3x + 5

9x - 9y = -45

Divide through by -9

-x + y = 5

Make y the subject

y = x + 5

Line 1 has the highest slope, while line 3 has the least slope.

So, we have the following equations:

  • Line 1: 6x - 2y = -10
  • Line 2: 9x - 9y = -45
  • Line 3: 3x - 12y = -60

Read more about linear equations at:

brainly.com/question/14323743

5 0
2 years ago
Plz Answer fast?????
Roman55 [17]

Answer:

add an answer bro

Step-by-step explanation:


5 0
3 years ago
Read 2 more answers
Which expression is equal to<br> 5, ?<br> A<br> 542<br> B.<br> 51<br> Cw<br> D.<br> 254
nirvana33 [79]

Answer:

don't understand the full question

3 0
3 years ago
You rent an apartment that costs $1100 per month during the first year, but the rent is set to go up 9.5% per year. What would b
uranmaximum [27]

Answer:

  $2076.30

Step-by-step explanation:

In the n-th year, the rent will be ...

  an = a1·r^(n-1) . . . . . . . . . r is the year on year ratio: 1+rate of increase

  an = 1100·(1.095^(n-1))

Then the rent in the 8th year is ...

  a8 = 1100·(1.095^(8-1)) ≈ 2076.30

The rent in the 8th year would be $2076.30.

8 0
2 years ago
Find the greatest common factor of these three expressions.<br> 18u^3 , 45u^2 , and 27u
stiv31 [10]

Answer:

9u

Step-by-step explanation:

18u³ / 9u = 2u²

45u²/9u = 5u

27u / 9u = 3

4 0
3 years ago
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