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nata0808 [166]
3 years ago
15

Write the standard form of the line that passes through the point (-2, 4) and is parallel to x - 2y = 6.

Mathematics
1 answer:
Radda [10]3 years ago
6 0
First calculate the function of x-2y=6:
x-2y=6 | - x
-2y=6-x | ÷ (-2)
y=0.5x-3

Now you have the function. Because the slope you search is parallel to this one, the slope is the same (in this case 0.5). A slope of 0.5 means for 2 steps to the right go one up. To define the function you are searching you have to find out the y intercept. For this take your point (-2|4). Now go as many steps to the right until you reach the y intercept or x=0 in this case you need 2 steps. So for 2 steps right you go one up. Now you have the y intercept (5).
The resulting function is: f(x) = 0.5+6.
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Answer:

10x - 8 or 2( 5x - 4)

Step-by-step explanation:

Perimeter of a rectangle = 2( Length + Width)

<u>Rectangle A </u>

Length = x + 8,

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Perimeter_A = 2((x + 8) + ( x - 1))\\\\

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Length = 4x + 5

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Perimeter _B= 2((4x + 5) + (3x-2))\\\\

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Perimeter_B - Perimeter_A = (14x +6)-(4x + 14) \\\\

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3 years ago
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