All categories

3 years ago

Write a linear equation that passes through the point (-3,3) and (9,-13)

Mathematics

1 answer:

blsea [12.9K]3 years ago

6 0

Answer:

y=-4/3x-1

Step-by-step explanation:

$\frac{ {y}^{2} - {y}^{1} }{ {x}^{2 -{x}^{1} } }$

$\frac{ - 13 - 3}{9 - - 3} = \frac{ - 16}{12\ }$

y=mx+b like this:

y=-4/3x+b

To find b:

y=-4/3x+b.

You can use either (x,y) point you want..the answer will be the same

(-3,3). y=mx+b or 3=-4/3 × -3+b, or solving for b: b=3-(-4/3)(-3). b=-1.

(9,-13). y=mx+b or -13=-4/3 × 9+b, or solving for b: b=-13-(-4/3)(9). b=-1.

You might be interested in

Help with this math question please

gtnhenbr [62]

The answer is B x = -4. x= 3

You must factor the equation by find what 2 numbers can multiply to equal -12 and add to equal 1.

-3 and 4 are the two numbers. Now to put it in factor form would be:

(x - 3)(x + 4) = 0

They y also must equal zero.

Since its equals to 0, we must solve for x for the binomial.

x - 3 = 0 ; x = 3

x + 4 = 0 ; x = -4

The answer you get from solving x, is that answer

6 0

4 years ago

On Monday, during a one day sale, the price of a suit was decreased by 20%. On Tuesday, the price of the suit was changed back t

nignag [31]

Answer:

25%

Step-by-step explanation:

If we consider the original price of the piece of suit is x.

Given that, on Monday during a one day sale, the price of the suit was decreased by 20%.

Therefore, the new price of the suit on Monday is $x( 1 - \frac{20}{100}) = 0.8x$ .

Now, the price of the suit on Tuesday was changed back to the original price i.e. x.

Therefore, the price is increase by (x - 0.8x) = 0.2x from the price of 0.8x.

So, the percentage change in price of the suit on Tuesday is $\frac{0.2x}{0.8x} \times 100 = 25$ %. (Answer)

8 0

3 years ago

Please help!! Show work please!!

Nonamiya [84]

1. 3x - 2y = 8 Subtract 3x on both sides

-2y = 8 - 3x Divide by -2 on both sides to get y by itself

y = -4 + 3/2x

2. a + b / 3 = 5 Multiply 3 on both sides

a + b = 15 Subtract a on both sides to get b by itself

b = 15 - a

3. 12x - 4y = 20 Subtract -12x on both sides

-4y = 20 - 12x Divide -4 on both sides to get y by itself

y = -5 + 3x

4. y + 3 = -5(x - 2) Multiply -5 to (x-2)

y + 3 = -5x + 10 Subtract 3 on both sides to get y by itself

y = -5x + 7

7 0

3 years ago

Read 2 more answers

A caterer is planning a large dinner party for 1001 guests. Each table must seat an equal number of guests, more than 1 guest a

MArishka [77]

Answer:

The prime factorization of 1001 is 7*11*13, so with the constraint that the tables seat between 2 and 19 guests, we can use tables that seat either 7, 11, or 13 guests.

For tables that seat 7, the caterer would need 11*13 = 143 tables.

For tables that seat 11, the caterer would need 7*13 = 91 tables.

Step-by-step explanation:

5 0

4 years ago

What is the effect on the graph of the function f(x) = x^2 when f(x) is changed to f(x − 6)

olya-2409 [2.1K]

Answer:

The comparison graph is also attached in 3rd figure. In the 3rd figure, the graph with vertex (0, 0) is representing $f(x) = x^2$ and $\:f\left(x\right)=\left(x-6\right)^2$ is represented as being shifted 6 units to the right as compare to the function $f(x) = x^2$ .

Step-by-step explanation:

When we Add or subtract a positive constant, let say c, to input x, it would be a horizontal shift.

For example:

Type of change Effect on y = f(x)

$y = f(x - c)$ horizontal shift: c units to right

Considering the function

$f(x) = x^2$

The graph is shown below. The first figure is representing $f(x) = x^2$ .

Now, considering the function

$\:f\left(x\right)=\left(x-6\right)^2$

According to the rule, as we have discussed above, as a positive constant 6 is added to the input, so there is a horizontal shift, 6 units to the right.

The graph of $\:f\left(x-6\right)=\left(x-6\right)^2$ is shown below in second figure. It is clear that the graph of $\:f\left(x-6\right)=\left(x-6\right)^2$ is shifted 6 units to the right as compare to the function $f(x) = x^2$ .

5 0

3 years ago