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3 years ago

Equation in slope intercept that is parallel to 3+4x=2y-9 and goes through (4,-4)

Mathematics

1 answer:

zhannawk [14.2K]3 years ago

5 0

If it's parallel to that equation, then that means the slope must be the same
Using the equation they gave us, we find the slope:
3+4x=2y-9
12+4x=2y
y=2x+6 (I just rearranged it after dividing both sides by 2)
Therefore, the slope of the equation is 2
So y=2x+b
Then they gave us the point (4,-4) and we can use that to find the intercept by plugging the values in for x and y:
-4=2(4)+b
-4=8+b
b=-12

So the equation is y=2x-12

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- The matrix representation is as follows:

$\left[\begin{array}{cc}0.94&0.04\\0.06&0.96\end{array}\right] \left[\begin{array}{c}p_c\\p_s\end{array}\right] = \left[\begin{array}{c}p_c'\\p_s'\end{array}\right]$

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$x_o = \left[\begin{array}{c}10,000,000\\800,000\end{array}\right]$

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