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4 years ago

Which line contains the point (1,-3)

1 answer:

4 0

There are infinitely many lines that have the point (1,-3).

A line can be expressed as:

y=mx+b, where m=slope and b=y-intercept..

Our only restriction is that it passes through (1,-3) so

-3=1m+b

So as long as the sum of the slope and the y-intercept is equal to -3, that is one of the infinite number of lines that passes through (1, -3)

So we could also say b=-3-m then our infinite lines are:

y=mx-3-m, now any real value of m creates a specific line that passes through the point. ie the first few are

y=x-4, y=2x-5, y=3x-6 or even y=x√2-3-√2

You might be interested in

Type the equation for the graphbelow.Pi/3 2piy = [?] sin([ ]x)

Pie

To find the equation of the graph, what we do is to recognize some characteristics of a sine function:

- Amplitude: The amplitude of the sine function is the distance from the middle value or line running through the graph up to the highest point. In this case, the amplitude is 1.

- Period: The period of a sine function is defined as the length of one complete sine wave or one complete cycle of the curve. It can be found using the equation: P=2pi/B.

Why are these characteristics important?

Because the sine function has the following general form:

In this problem, we have A=1 and we know that the period equals 2pi/3. So,

Therefore, the equation of the graph is:

8 0

1 year ago

If xy + 12 = 6x + 7, find y if x =5.

Igoryamba

Answer: look at the picture

Step-by-step explanation: Hope this help :D

4 0

3 years ago

Read 2 more answers

Kevin cuts lawns during the summer months. He charges $10 plus $5 per hour. The algebraic model is C = 5h + 10, where C represen

Oxana [17]

Answer:

$\begin{center}\begin{tabular}{ c c c }Hours(h) & Total Cost(C) \\ 1 & 15 \\ 2 & 20 \\ 3 & 25 \\ 4 & 30 \\ 5 & 35 \end{tabular}\end{center}$

Step-by-step explanation:

Given that:

Kevin charges $10 plus $5 per hours

C = 5h + 10

To find:

The table of values for hours worked from 1 to 5.

Solution:

First of all, let us put h = 1 in the given equation:

C = 5 \times 1 + 10

C = 5 + 10 = $15

Now, let us put h = 2 in the given equation:

C = 5 \times 2 + 10

C = 10 + 10 = $20

Now, let us put h = 3 in the given equation:

C = 5 \times 3 + 10

C = 15 + 10 = $25

Now, let us put h = 4 in the given equation:

C = 5 \times 4 + 10

C = 20 + 10 = $30

Now, let us put h = 5 in the given equation:

C = 5 \times 5 + 10

C = 25 + 10 = $35

So, the table becomes each row incrementing h by 1:

$\begin{center}\begin{tabular}{ c c c }Hours(h) & Total Cost(C) \\ 1 & 15 \\ 2 & 20 \\ 3 & 25 \\ 4 & 30 \\ 5 & 35 \end{tabular}\end{center}$

8 0

3 years ago

A theater charges $50 per ticket for seats in section a, $40 per ticket for seats in section b, and $20 per ticket for seats in

alukav5142 [94]

The first thing we must do for this case is to define variables.
We have then:
x: ticket for seats in section a
y: ticket for seats in section b
z: ticket for seats in section c
We write the system of equations:
50x + 40y + 20z = 335000
x + y + z = 9500
y = x + z + 500
Solving the system we have:
x = 1500
y = 5000
z = 3000
Answer:
ticket for seats in section a = 1500
ticket for seats in section b = 5000
ticket for seats in section c = 3000

7 0

3 years ago

I need this answer ASAP: <br> (48p+24) divided by 6

sergey [27]

Answer:

It would be 8p+4

Step-by-step explanation:

5 0

3 years ago