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erik [133]
4 years ago
9

Graph the line that passes through the points (2, 1) and (1, -2) and determine the equation of the line.

Mathematics
1 answer:
ankoles [38]4 years ago
3 0

Answer:

y = 3x - 5

Step-by-step explanation:

Slope Formula: m = \frac{y2-y1}{x2-x1}

Slope-Intercept Form: y = mx + b

Step 1: Find slope

m = (-2 - 1)/(1 - 2)

m = 3

Step 2: Find <em>b</em>

y = 3x + b

-2 = 3(1) + b

-2 = 3 + b

b = -5

Step 3: Rewrite linear equation

y = 3x - 5

Step 4: Graph using graphing calc

You might be interested in
Francis went to the sporting goods store and spent $75.15 on 6 items.
MArishka [77]

Answer:

$6.03

Step-by-step explanation:

The question is asking us how much each pair of socks cost. With the information we are given, we know that there are 5 pairs and that they all cost the same amount. If the total were just the 5 socks, we could easily divide the total by 5 to get the price of each pair but that's not the case. The soccer ball is included in the final cost. To overcome this, we just have to subtract the soccer ball's cost ($45) from the total.

So we subtract $45 from $75.15, giving us $30.15, the total amount of all the socks. However we need to find out how much each pair costs and there are 5 of them, so we divide 30.15 by 5. This gives us the answer, $6.03.

Each pair of socks cost $6.03.

Simpler Explanation:

  • $75.15 - $45 = $30.15
  • $30.15 / 5 = $6.03

The answer is $6.03

5 0
3 years ago
a radio station had 234 tickets to a concert. They gave away 5 times as many tickets to listeners as to employees. how many tick
RSB [31]

Answer:

39 tickets were given to the employees

Step-by-step explanation:

1. Approach

First, list the given information, then form an equation based on the given information. Finally, solve the equation with simplification and inverse operations.

2.Given

A total of 234 tickets were given away

5 times as many tickets were given away to listeners compared to employees

-Call the number of tickets given away to employees (x)

3. Form an equation

(Tickets_given_to_employees) + (Tickets_given_to_listeners) = (Total_tickets)

Substitute,

x + 5x = 234

Simplify,

6x + 234

Inverse operations,

6x = 234

/6      /6

x = 39

5 0
3 years ago
Find the value of the trigonometric ratio. Make sure to simplify the fraction if needed. plss help
Natalija [7]

Answer:

3/5

Step-by-step explanation:

sinA = opp/hyp

= 21/35

= 3/5

8 0
3 years ago
What is 10 to the negative 8 power
raketka [301]

Answer:

0.000000001

Hope This Helps!  Have A Nice Day!!

5 0
3 years ago
A random sample of 20 purchases showed the sample mean of $48.77 and the sample standard deviation s is $17.58. How large is the
laila [671]

Answer:

<h2>$5.03</h2>

Step-by-step explanation:

Given data          

Sample Mean (M):  $48.77  

Sample Size (n): 20

Standard Deviation (σ) :  $17.58

Confidence Level: 80%

 we know that z*-Values for 80% Confidence  Levels is 1.28

the expression for margin of error is given bellow\

MOE= z*σ/√n

We can now substitute into the expression and solve for the MOE as

MOE= 1.28*17.58/√20

MOE= 22.502/4.47

MOE= 22.502/4.47

MOE= 5.03

The margin of error for a 80 % confidence interval is $5.03

3 0
4 years ago
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