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4 years ago

Write the equation of a line that passes through points (0,4) and (-2,-3) in slope intercept form

Mathematics

1 answer:

Otrada [13]4 years ago

4 0

y=mx+b is the equation of a line;

m=slope , b= y-intercept

You can find the slope with this following equation: (y(2)-y(1))/(x(2)-x(1))

In this case the points are (0,4) and (-2,-3). The first set being (0,4) and the second (-2,-3). This means (0,4) can be expressed as (x(1),y(1)) and (-2,-3) expressed as (x(2),y(2)). Plugging these numbers into the slope equation gives us: (-3-4)/(-2-0) = -7/-2 = 7/2.

m= 7/2 ; so we have : y= (7/2)x+b

We are give a set of points which it passes through, we can simply plug them in:

4 = (7/2)(0)+b (0 is the x and 4 is the y)

We get 4 = 0 +b .... 4=b

our final equation is : y=(7/2)x+4

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Help plz

bixtya [17]

Answer:

Triangle 1 has the most area

Step-by-step explanation:

Because triangle has more whole blocks and also sides

hope this helps. if it's wrong im sorry :(

7 0

3 years ago

Ray industries bought a touchscreen monitor for $1200 it is expected to depreciate at a rate of 25% per year what was the value

max2010maxim [7]

So for this problem, we will be using the exponential equation format, which is y = ab^x. The a variable is the initial value, and the b variable is the growth/decay.

Since our touchscreen starts off at a value of 1200, that will be our a variable.

Since the touchscreen is decaying in value by 25%, subtract 0.25 (25% in decimal form) from 1 to get 0.75. 0.75 is going to be your b variable.

In this case, time is our independent variable. Since we want to know the value 3 years from now, 3 is the x variable.

Using our info above, we can solve for y, which is the cost after x years.

$y=1200*0.75^3\\y=506$

In context, after 3 years the touchscreen will only be worth $506.

7 0

3 years ago

What is the correct answer response?

Ghella [55]

Answer:

Yes

Step-by-step explanation:

7 0

3 years ago

Read 2 more answers

(10

Anni [7]

Given:

The matrix multiplication

$\begin{bmatrix}4&5&6\\1&2&3\end{bmatrix}\begin{bmatrix}10\\20\\30\end{bmatrix}$

To find:

The order of resulting matrix.

Solution:

We know that, if order of first matrix is $m_1\times n_1$ and the order of second matrix is $m_2\times n_2$ , then the order of these two matrices is $m_1\times n_2$ .

We have,

$\begin{bmatrix}4&5&6\\1&2&3\end{bmatrix}\begin{bmatrix}10\\20\\30\end{bmatrix}$

Here, the order of first matrix is $2\times 3$ and the order of the second matrix is $3\times 1$ . So, the order of the second matrix is $2\times 1$ . It is also written are 2 by 1.

Therefore, the correct option is A.

6 0

3 years ago

Read 2 more answers

Find the slope of the line that passes through (-1,6) and (15,6)

svp [43]

Slope = $\frac{Y2 - Y1}{X2 - X1}$
------------------------
6 - 6 = 0
15 - (-1) = 16
0 / 16 = 0
--------------------------------
You have a slope of 0, meaning that this is a straight horizontal line

3 0

3 years ago