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Stella [2.4K]
3 years ago
9

Which equation has the same graph as 4x + 8y = 12?

Mathematics
1 answer:
Nutka1998 [239]3 years ago
8 0

Answer:

4x + 8y = 12  \\ 4(x + 2y) = 12 \\  \frac{4(x + 2y)}{4}  =  \frac{12}{4}  \\ x + 2y = 3

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The points (2, 8) and (1, 2) fall on a particular line. What is its equation in slope-intercept form?
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Answer:

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Step-by-step explanation:

(2, 8) & (1, 2)

First you want to find the slope of the line that passes through these points. To find the slope of the line, we use the slope formula: (y₂ - y₁) / (x₂ - x₁)

Plug in these values:

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Simplify the parentheses.

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Simplify the fraction.

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This is your slope. Plug this value into the standard slope-intercept equation of y = mx + b.

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To find b, we want to plug in a value that we know is on this line: in this case, I will use the second point (1, 2). Plug in the x and y values into the x and y of the standard equation.

2 = 6(1) + b

To find b, multiply the slope and the input of x(1)

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Now, subtract 6 from both sides to isolate b.

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Plug this into your standard equation.

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This is your equation.

Check this by plugging in the other point you have not checked yet (2, 8).

y = 6x - 4

8 = 6(2) - 4

8 = 12 - 4

8 = 8

Your equation is correct.

Hope this helps!

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