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Cerrena [4.2K]
3 years ago
11

What is the equation of this line? Picture included

Mathematics
1 answer:
enot [183]3 years ago
7 0
A straight line needs two pieces of information to be identified, a gradient and a y-intercept (technically any point will do but the y-intercept is particularly convenient if we have it).

The gradient is calculated by taking two points on the line, and dividing the change in y-coordinate by the change in x-coordinate between them. I'm going to take the points (0,-3) and (2,-2).

The change in y-coordinate is (-2) - (-3) = 1

The change in x-coordinate is (2) - (0) = 2.

Gradient = m = 1/2

Next we identify the y-intercept, the value of y when x = 0. This value is -3, and we call it c.

The equation of a line in slope-intercept form is y = mx + c. Slotting in the values for m and c we have ascertained, we find that the equation of this line is:

y = (1/2)x - 3

I hope this helps :)
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Can you please help me? Keep it a little basic. (no decimals) Thanks for the help!
Delvig [45]
When you are dividing fractions you just flip the second fraction upside down and multiply the two fractions
So the first is
½ x 6/1 = 6/2 = 3

For the second you write them as improper fractions then do the same
So it is
3/2 / 1/8 = 3/2 x 8/1 = 24/2 = 12

So the answer to the first question is 3 and the second is 12
4 0
3 years ago
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Find the trinomial below 4x^2 + 12x + 9
gulaghasi [49]

Answer:

4x²  +  12x  +  18

Step-by-step explanation:

This would be the trinomial.

4 0
2 years ago
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Kayla went shopping for a new pair of sneakers. The listed price of the pair of sneakers was $20, but the price with tax came to
Nina [5.8K]

Hello!

\large\boxed{9 \%}

To find the percent tax, use the equation:

\text{ \% tax} = \frac{\text{ price after - initial price}}{\text{initial price}}

Substitute in the given values:

\text{ \% tax} = \frac{\text{ 21.80 - 20}}{\text{20}} \\\\\text{ \% tax} = \frac{1.80}{20} = 0.09

Multiply by 100 to find the percent tax:

0.09 * 100 = 9\%

4 0
3 years ago
Simplify the following expression. 3 2/5x3(-7/5)
Studentka2010 [4]

The simplified expression of 32/5 x 3(-7/5) is  -672/25

<h3>How to simplify the expression?</h3>

The mathematical expression is given as:

32/5 x 3(-7/5)

Evaluate the product of 3 and -7/5

32/5 x 3(-7/5) =  32/5 x -21/5

Evaluate the product of 32 and -21

32/5 x 3(-7/5) =  672/5 x -1/5

Evaluate the product of 5 and 5

32/5 x 3(-7/5) =  672/25 x -1

So, we have:

32/5 x 3(-7/5) =  -672/25

Hence, the simplified expression of 32/5 x 3(-7/5) is  -672/25

Read more about expressions at:

brainly.com/question/723406

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8 0
2 years ago
Mike bought five items for lunch that cost a total of $4.55. Hot dogs cost $1.10 each and cookies cost $0.75 each. Which of thes
Setler79 [48]

Answer:

1.1h+0.75c=4.55---------------1

h+c=5--------------2

Step-by-step explanation:

Step one:

given data

total lunch items= 5

let hot dogs be h

and cookies be c

cost of hot dogs = $1.10

cost of cookies = $0.75

total cost = $4.55

Step two:

The linear model for the total cost is given as

4.55=1.1h+0.75c---------------1

and the model for the number of items is

h+c=5--------------2

The systems of the equation for the situation is

1.1h+0.75c=4.55---------------1

h+c=5--------------2

6 0
2 years ago
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