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timurjin [86]
3 years ago
13

What is the equation of the line that passes through (-3, -1) and has a slope of 2/5? Put your answer in slope-intercept form.

Mathematics
1 answer:
Zanzabum3 years ago
7 0
Hi there!

The general formula of A line in slope-intercept form is the following:
y = mx + n

In this formula m represents the slope of the line. Therefore, we can conclude that m = 2/5.
y =  \frac{2}{5} x + n

We also know that the line passes through the point (-3, -1) and we can therefore substitute this coordinate into the formula of the line.
x = -3 and y = -1

- 1 =  \frac{2}{5}  \times  - 3 + n

Multiply first.
- 1 =  -  1\frac{1}{5}  + n

And finally add 1 1/5 to both sides of the equation.
\frac{1}{5}  = n

We can now switch sides.
n =  \frac{1}{5}

Now we've found our value of n, which we can substitute into the formula of our line. Hence, in slope-intercept form, we find the following:
y =  \frac{2}{5}  x  +  \frac{1}{5}

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A pretzel manufacturer has two production lines. Line A produces a variety of pretzel that is sold for $2.40 per bag. Line A typ
nydimaria [60]

Answer:

f(x)=19x - 7x

Step-by-step explanation:

I am a high schooler as well and was working on this problem as well. I can't say I'm right or wrong because I didn't have a grade on it yet. I believe the answer is f(x)=19x - 7x. The Lines don't have a given value, so I chose the values 12 for Line A and 7 for Line B. I believe the answer is this because Line A would produce 12 bags each day and 3 of them would not be useable, leaving you with 9. Line B would produce 7 and 4 of them would be unusable, leaving you with 3. Line A produces 9 per day while Line B produces 3, and that would check off the part that says, "Line A produces 3 times as many bags as Line B each day." Throughout the problem, it talks about how many bags can each line produces each day, and the sentence talks about that specifically as well. So, the function must be about the amount of bags produced per day. x would represent the number of days that the Lines have been working. 19 is the total amount of bags that was produced in a day. 7 represents the total amount of bags that are unusable. Though I may be wrong, I hope this might help you come to a conculsion of your own.

7 0
3 years ago
How do you write a linear equation given the slope and a point that
Serga [27]

Answer:

point slope form

Step-by-step explanation:

hi! we can use point slope form:

y-y1=m(x-x1)

where m is the slope, x1 is the x-coordinate of the given point, and y1 is the y-coordinate of the given point.

example:

slope is 4

ordered pair is (2,3)

y-3=4(x-2)

y-3=4x-8

y=4x-5

hope this helps!

6 0
3 years ago
Charlie has 468 onions he puts 12 in each bag. He sells each bag for 8$ a bag.
antoniya [11.8K]

Answer:

$312

Step-by-step explanation:

468/12

12 * 8

5 0
3 years ago
Read 2 more answers
At a sale this week, a desk is being sold for 128.80. This is a 72% discount from the original price. What is the original price
wel

Answer:

$460

Step-by-step explanation:

If the 128.80 is the price of the desk after a 72% discount, it means that 128.80 is 100-72=28% of the original price.

From here, we can divide 128.80 by 28 to find what 1% of the price is then multiply the value by 100 to find 100%, or the original price.

128.80/28 = 4.6

4.6 x 100 = 460

Original price = $460

Hope this helped!

6 0
2 years ago
Use rounding to estimate 0.93+0.18 plz help me
Anastasy [175]
0.93 = 0.9
0.18 = 0.2 

0.9 + 0.2 = 1.1

Answer 1.1
6 0
3 years ago
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