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3 years ago

Write the standard form of the equation of the line through the given point with the given slope. Simplify as much as possible.

Mathematics

2 answers:

Mashutka [201]3 years ago

6 0

Answer:

$y =-\frac{2}{3} x - \frac{2}{3}$

Step-by-step explanation:

Equation of line in point slope form is given as

$y-y_1=m(x-x_1)$

Here

m=-2/3 and $(x_1, y_1)=(-1, 0)$

Equation of the line passing through the point (-1, 0) with slope -2/3 is

$y-0=-\frac{2}{3} (x-(-1))$

$y =-\frac{2}{3} (x+1)$

$y =-\frac{2}{3} x - \frac{2}{3}$

adoni [48]3 years ago

4 0

Answer:

y = -2/3x - 1

Step-by-step explanation:

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The number 5/9 is an example of a

Bond [772]

Answer:

5/9 is an example of rational number.

Step-by-step explanation:

as the definition of rational number is the number in the form of p/q but the value of denominator q should not be equal to 0. Every integer is a rational number.

8 0

3 years ago

Can u help me with 2&4

Anvisha [2.4K]

2.

1, -3.8
2, -3.6
3, -3.4
4, -3.2
5, -3

(In each row, the first number is x and the second number is the y)

4 0

3 years ago

Keira , larry and gita picked apples at an orchard. keira picked twice as many pounds as larry and 3 times as many as gita. the

Natalija [7]

Number of apples in pounds picked up by Keira = K
Number of apples in pounds picked up by Larry = L
Number of apples in pounds picked up by Gita = G
Total number of apples they picked all together in pounds = 8360
Now from the given question, we know
Number of apples picked up by Kiera = 2L
So
K = 2L
L = K/2
Again Kiera picked up 3 times as many apples as Gita picked.
So,
K = 3G
G = K/3
Now if we add all the apples in pounds picked up by the three of them.
Then
K + L + G = 8360
K + (K/2) + K/3) = 8360
(6K + 3K + 2K)/6 = 8360
11K/6 = 8360
11K = 8360 * 6
11K = 50160
K = 4560
Then
L = K/2
   = 4560/2
   = 2280
G = K/3
   = 4560/3
   = 1520
Now we can say that
Kiera picked 4560 pounds of apple
Larry picked 2280 pounds of apple
Gita picked 1520 pounds of apple

7 0

3 years ago

What is 1.63 + m- .12=

tatuchka [14]

M+1.51 is your answer. first you calculate the difference and then you reorder the values.

4 0

3 years ago

You want to calculate the value of your car each year when it depreciates by 15%. What does the term y mean in the exponential f

insens350 [35]

Answer:

Value of the car after x years

Step-by-step explanation:

Exponential functions are generally expressed in the form: $y=a(b)^x$ and since this function is decreasing, meaning it has an exponential decay, it can be expressed as: $y=a(1-r)^x$ where r=rate of decay.

In this case the a represents the initial value or y-intercept, since when x=0, (1-r)^0 = 1, so we just have y=a(1) or y=a

The r represents the rate of decay

the x usually represents the time in seconds, days, months, or whatever unit is being used

The y value represents the value of whatever your measuring, and in this context it represents the value of the car after x years.

This is because a represents the initial value

After one year it's only 85% worth it's initial value or 15% less which is represented as 0.85(a)

After two years it's only 85% worth the previous year or 15% less the previous year, which is represented as 0.85(0.85(a))

This will continue to decrease the number of years increase

4 0

1 year ago

Read 2 more answers