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Usimov [2.4K]
3 years ago
15

The point-slope form of the equation of the line that passes through points (-5,-1) and (10, -7 ) is y-4=1/4 (x-8) what is the s

lope intercept form of the equation for this line​ ?
Mathematics
1 answer:
arlik [135]3 years ago
4 0

Answer:

y = \frac{1}{4} x + 2

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Given

y - 4 = \frac{1}{4} (x - 8) ← distribute

y - 4 = \frac{1}4} x - 2 ( add 4 to both sides )

y = \frac{1}{4} x + 2 ← in slope- intercept form

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Viktor [21]

Answer:

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Step-by-step explanation:

8 0
2 years ago
Which of these ordered pairs is a solution to the linear inequality 3y - 2x > 8?
Tanzania [10]
For this case we have the following inequality:
 3y - 2x> 8
 The first thing we should do is to graph the function.
 Then, see the set of points that are the solution of the inequality.
 The solution set is given by the shaded region.
 See attached image.
 Answer:
 
Shaded region.
 
See attached image.

3 0
3 years ago
What is3/4 - 1/2 and what is 7/8-2/3
Mariulka [41]
3/4 - 1/2 = 3/4 - 2/4 = 1/4

7/8 - 2/3 = 21/24 - 16/24 = 5/24
7 0
3 years ago
The capacity of an elevator is 12 people or 2088 pounds. the capacity will be exceeded if 12 people have weights with a mean gre
boyakko [2]

suppose the people have weights that are normally distributed with a mean of 177 lb and a standard deviation of 26 lb.

Find the probability that if a person is randomly selected, his weight will be greater than 174 pounds?

Assume that weights of people are normally distributed with a mean of 177 lb and a standard deviation of 26 lb.

Mean = 177

standard deviation = 26

We find z-score using given mean and standard deviation

z = \frac{x-mean}{standard deviation}

= \frac{174-177}{26}

=-0.11538

Probability (z>-0.11538) = 1 - 0.4562 (use normal distribution table)

= 0.5438

P(weight will be greater than 174 lb) = 0.5438

8 0
3 years ago
Evaluate the expression when x = 2, y = 5, and z = 4.
Stolb23 [73]

10y+x²

10(5)+(2)²

10(5)+4

50+4

54

Therefore, the expression has a value of 54.

5 0
3 years ago
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