The equation of the line in slope intercept form is y = - 1 / 2x + 4
<h3>How to write equation in slope intercept form?</h3>
The equation in slope intercept form is represented as follows:
y = mx + b
where
Therefore,
using the points (2, 3)(0, 4)
m = 4 - 3 / 0 - 2 = 1 / -2 = - 1 / 2
Hence,
b = 4
Therefore, the slope intercept equation of the line is as follows:
y = - 1 / 2x + 4
The y-intercept is value of y when x = 0
learn more on equation here: brainly.com/question/27806296
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Y=3/4x-2 would be your equation :)
You find this with y=mx+b with m being your slope and b being the y-axis point
Answer:
The cost of chocolate pumpkins is $1.89, masks cost $5.75 and candy witches cost $1.62
Step-by-step explanation:
Let x represent the cost of chocolate pumpkins, y the cost of masks and z the cost of candy witches.
Cory shopping can be represented as:
3x + 4y + 8z = 41.63 (1)
Josh shopping can be represented as:
6x + 2y + 14z = 45.52 (2)
Dan shopping can be represented as:
8x + 3y + 25z = 72.87 (3)
The equations in matrix form is:
![\left[\begin{array}{ccc}3&4&8\\6&2&14\\8&3&25\end{array}\right] \left[\begin{array}{c}x\\y\\z\end{array}\right] =\left[\begin{array}{c}41.63\\45.52\\72.87\end{array}\right] \\\\\\\left[\begin{array}{c}x\\y\\z\end{array}\right] =\left[\begin{array}{ccc}3&4&8\\6&2&14\\8&3&25\end{array}\right] ^{-1}\left[\begin{array}{c}41.63\\45.52\\72.87\end{array}\right] \\\\\\\left[\begin{array}{c}x\\y\\z\end{array}\right] =\left[\begin{array}{c}1.89\\5.75\\1.62\end{array}\right]](https://tex.z-dn.net/?f=%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7D3%264%268%5C%5C6%262%2614%5C%5C8%263%2625%5Cend%7Barray%7D%5Cright%5D%20%5Cleft%5B%5Cbegin%7Barray%7D%7Bc%7Dx%5C%5Cy%5C%5Cz%5Cend%7Barray%7D%5Cright%5D%20%3D%5Cleft%5B%5Cbegin%7Barray%7D%7Bc%7D41.63%5C%5C45.52%5C%5C72.87%5Cend%7Barray%7D%5Cright%5D%20%5C%5C%5C%5C%5C%5C%5Cleft%5B%5Cbegin%7Barray%7D%7Bc%7Dx%5C%5Cy%5C%5Cz%5Cend%7Barray%7D%5Cright%5D%20%3D%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7D3%264%268%5C%5C6%262%2614%5C%5C8%263%2625%5Cend%7Barray%7D%5Cright%5D%20%5E%7B-1%7D%5Cleft%5B%5Cbegin%7Barray%7D%7Bc%7D41.63%5C%5C45.52%5C%5C72.87%5Cend%7Barray%7D%5Cright%5D%20%5C%5C%5C%5C%5C%5C%5Cleft%5B%5Cbegin%7Barray%7D%7Bc%7Dx%5C%5Cy%5C%5Cz%5Cend%7Barray%7D%5Cright%5D%20%3D%5Cleft%5B%5Cbegin%7Barray%7D%7Bc%7D1.89%5C%5C5.75%5C%5C1.62%5Cend%7Barray%7D%5Cright%5D)
The cost of chocolate pumpkins is $1.89, masks cost $5.75 and candy witches cost $1.62
Step-by-step explanation:
The equivalent expression of 8x + 12 - x = 7x + 12