All categories

3 years ago

Write an equation of the line that passes through the points (5, -7) and (3, -1).

Mathematics

1 answer:

asambeis [7]3 years ago

5 0

Answer:

y = -3x + 8

Step-by-step explanation:

I like to recommend this particular method for finding the slope of a line through two given points:

Notice that if we move from (3, -1) to (5, -7), the horizontal distance covered (the "run") is 2 and the vertical change (the "rise") is -6. Thus, the slope is m = rise / run = -6 / 2, or -3.

Starting with y = mx + b, replace y with -7 and x with 5, and m with -3:

-7 = -3(5) + b ... we must find b.

-7 = -15 + b yields b = 8

and so the equation of this line is y = -3x + 8.

You might be interested in

Malia did push-ups and pull-ups in her physical education class. She did 24 push-ups and pull-ups combined, with each push-up ta

Paul [167]

Answer:

12 pull

As 48 seconds + 20 seconds push = 68 seconds

Step-by-step explanation:

Because she did 10 push = 20 seconds = 2 seconds each

12 pull = 48 seconds = 4 seconds each

= 68 seconds combined.

Workings;

18 seconds found for the first set

We then find a divider of 68 and know that

6 x 3 = 18 seconds push

12 x 3 =36 seconds pull T= 54

14 left over = 1 x 12 seconds pull

+ 2 seconds push

= 10 push = 20 seconds combined.

= 12 pull = 48 seconds combined.

6 0

3 years ago

Read 2 more answers

Please answer this question...

MariettaO [177]

Answer:It should be x=1 not sure thought.

Step-by-step explanation:

4 0

3 years ago

singh works at a restaurant where he is paid by the hour plus time and a half for his hours over 40. last week he worked four ho

padilas [110]

Answer:

$8.5 per hour

Step-by-step explanation:

Number of overtime hours = 4 hours

Since overtime starts after 40 hours, then the number of hours worked = 40 + 4 = 44 hours

Total amount earned = $391

Let Hourly pay = x

Overtime pay = 1 1/2x = 3/2x

Therefore ;

40x + (4*3/2x) = 391

40x + 6x = 391

46x = 391

x = 391 / 46

x = 8.5

Hourly pay = $8.5 per hour

7 0

3 years ago

What is 92 divided by 828

Natalija [7]

The answer is 9. if you wanna do it the long way buit a calculator is easier

3 0

3 years ago

Read 2 more answers

Creating an Exponential Model

belka [17]

Answer:

P = $300

r = 0.15

n = 12

$544.61 (to the nearest cent)

$P(1+r)^t$

$524.70 (to the nearest cent)

Step-by-step explanation:

P = principal amount = $300

r = annual interest rate in decimal form = 15% = 15/100 = 0.15

n = number of times interest is compounded per unit t = 12

How much she'll owe in 4 years

P = 300

r = 0.15

n = 12

t = 4

$P(1+\frac{r}{n})^{nt}=300(1+\frac{0.15}{12})^{12 \times 4}$

= $544.61 (to the nearest cent)

Yearly compounding interest rate

$P(1+r)^t$

How much she'll owe in 4 years at yearly compounding interest

$P(1+r)^t=300(1+0.15)^4$

= $524.70 (to the nearest cent)

7 0

2 years ago