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bogdanovich [222]
2 years ago
10

Write the equation of a line in slope-intercept form that goes through: (4,-1) and (-2,-4)

Mathematics
1 answer:
Sergeu [11.5K]2 years ago
8 0

Answer:

y=1/2x-3

Step-by-step explanation:

1) Find slope... (y2-y1)/x2-x1–> (-4-(-1))/-2-4=-3/-6=1/2

2) Pick a coordinate and plug into equation y-y1=m(x-x1)—> y-(-1)=1/2(x-4)

3) Simplify to make y alone —> y=1/2x-3

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How do I set this up to solve as a linear equation?
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I don't see any numbers to set up in an equation or letters
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3 years ago
At the movies, a couple bought 2 medium drinks and a large popcorn for
LuckyWell [14K]
Let's make p stand for popcorn and d for drinks. Using those variables, we can create our equations:
2p + 3d = 18.25
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From this, we can use substitution or elimination to solve:
For substitution, in the second equations, we could factor out a 2, divide both sides by 2, and then move the left over 2p to the other side to isolate d to put into the first equation.
For elimination, we can multiply the first equation by -2 so that we can remove the 4p and focus on solving for d.

I'll be using elimination in this case:
-2(2p + 3d = 18.25) --> -4p - 6d = -36.50

-4p - 6d = -36.50
4p + 2d = 27.50
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d = 2.25

4p + 2 * 2.25 = 27.50
4p + 4.50 = 27.50
4p = 23.00
p = 5.75

Now let's check our answer:
2 * 5.75 + 3 * 2.25 = 18.25
11.50 + 6.75 = 18.25
18.25 = 18.25

So drinks cost $2.25 and popcorn $5.75
7 0
3 years ago
The table shows the number of pages a student reads and how many
dolphi86 [110]

Answer:

the unit rate is 2.25

Step-by-step explanation:

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5 0
2 years ago
What is the answer to this equation?(solve) 5(5x+4)=45
Gemiola [76]

Answer:

x=1

Step-by-step explanation:

5(5x+4)=45

25x+20=45

subtract 20 on each side

25x=25

divide by 25 on each side

x=1

5 0
3 years ago
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