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lesya692 [45]
3 years ago
15

Write the equation of the line given the following. Write the equation in slope-intercept form.

Mathematics
1 answer:
Elis [28]3 years ago
3 0
Just to get formulas out the way so that I don't have to write them out every time:

slope-intercept form: y = mx + b
where m is the slope and b is the y-intercept.

slope = \frac{Y2-Y1}{X2-X1}
where X1 and Y1 are the x- and y-coordinates in the first ordered pair. Same applies for X2 and Y2.

1) They give you the slope so plug it in along with the point given and solve for b. 

y = 2/5x + b
- 6 = 2/5(- 1) + b
- 6 = - 2/5 + b
- 6 + 2/5 = b
- 30/5 + 2/5 = b
- 28/5 = b

Your equation: y = - 2/5x - 28/5

2) Find your slope first then plug in any point to solve for b.
m = \frac{8 - 5}{5 - (- 2)} =  \frac{3}{7}

y = 3/7x + b
5 = 3/7(- 2) + b
5 = - 6/7 + b
5 + 6/7 = b
35/7 + 6/7 = b
41/7 = b

y = 3/7x + 41/7

3) Same thing as above. 
m = \frac{7 - 7}{5 - (- 3)} =  \frac{0}{8} = 0

y = 0x + b
y = b
7 = b

y = 7

4) Same as above
m = \frac{- 5- 1}{6-6} =  \frac{- 6}{0} = undefined. 

Because your slope is undefined, it is no longer a "y =" problem but rather an "x =" equation. You then take the x-values of the two ordered pairs (they should match) and that becomes the right side of the equal sign.

x = 6
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natima [27]

Answer:

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Step-by-step explanation:

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4 0
1 year ago
Can somebody tell me what's 43 divided by 1032 in long division? (Step by step) Or send a picture please
Brut [27]

Answer:

24

Step-by-step explanat

Divide both the numerator and denominator by the GCD

1032 ÷ 43

43 ÷ 43

Reduced fraction:

24

1

Therefore, 1032/43 simplified to lowest terms is 24/1.

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3 years ago
What is the value of the expression below if y=5
ale4655 [162]

Answer:

27

Step-by-step explanation:

Its a long step by step but trust me

6 0
3 years ago
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4 0
3 years ago
A survey of 120 twelfth-graders finds that 36% were carrying more than $15 on the day of the survey. Use the margin of error to
-Dominant- [34]

Answer:

An interval that will likely include the proportion of students in the population of twelfth-graders who carry more than $15 is 960

Step-by-step explanation:

For example, Condition 1: n(.05)≤N

• The sample size (10) is less than 5% of the population (millions of musicians), so

the condition is met.

• Condition 2: np(1-p)≥10

• =

2

10

= .2

• 1 − = 10 .2 1 − .2 = 1.6 . This is less than 10 so this condition is not

met.

It would not be practical to construct the confidence interval.

3 0
3 years ago
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