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Eva8 [605]
3 years ago
8

Write the equation that passes through the following points: (5,0) and (−10,−5)

Mathematics
1 answer:
Vikentia [17]3 years ago
4 0

Answer:

The answer is:

y =  \frac{1}{3} x -  \frac{5}{3}

Step-by-step explanation:

❃Incase you forgot what the linear equation formula is ☟

y = mx + b

❃Incase you also forgot, The is what the slope formula is ☟

m = \frac{y_2 - y_1 }{x_2 - x_1}

➊ First: We are going to be solving for the slope.

m = \frac{  - 5 - 0}{ - 10 - 5} = \frac{ - 5}{  - 15} =  \frac{1}{3}

➋Second: We find the y-intercept.

y = mx + b \\ 0 =  \frac{1}{3} (5) + b \\ 0 =  \frac{5}{3}  + b \\ \frac{  -   \frac{5}{3}  =  -  \frac{5}{3 }   \:  \:  \:  \:  \:  \:  \: \: \: \: \: \: }{  -  \frac{5}{3}  = b}

➌Third: Plug in.

y =  \frac{1}{3} x -  \frac{5}{3}

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7 0
1 year ago
Read 2 more answers
When a number is a multiple of 6, what are the possible values for the ones digits?
Liula [17]
I would do this by first listing the multiples of 6 until I start to see a pattern with the one's digit.
6x0=0
6x1=6
6x2=12
6x3=18
6x4=24
6x5=30
6x6=36
6x7=42
6x8=48
...
The digits in bold are the one's digits so those are the only ones we really care about.  If you list just them it looks like: 0,6,2,8,4,0,6,2,8
Notice how the first set of 5 numbers seems as though it repeats in the 6th, 7th, and 8th numbers.  This probably means the pattern continues infinitely so the first 5 numbers are all the one's digits that can come from multiples of 6.  Thus your answer is: 0,6,2,8,or 4 
7 0
3 years ago
Donna is on the swim team. Each week she swims a total of 8000 meters. How many kilometers does she swim each week? Be sure to i
aivan3 [116]

Answer:

Donna swims 8 km each week.

Step-by-step explanation:

To be able to find the answer, you have to consider that 1 km is equal to 1000 meters and with this, you can use  rule of three to find the kilometers in 8000 meters:

1 km  →  1000 meters

  x    ←   8000 meters

x=(1*8000)/1000=8 km

According to this, the answer is that Donna swims 8 km each week.

7 0
3 years ago
If (1/4) of (4/3) is subtracted from 2, what is the resulting value?
Bad White [126]
2-\dfrac{1}{4}\cdot\dfrac{4}{3}=\\
2-\dfrac{1}{3}=\\
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\dfrac{5}{3}
7 0
3 years ago
Which inequality has -25 in its solution set?
Ann [662]

Many inequalitys have -25 in their solution sets.

There are too many to name.

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3 years ago
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