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madam
2 months ago
8

What is the equation of the line graphed below?

Mathematics
2 answers:
Inessa [12.5K]2 months ago
8 0
1/2x + y = 3

Rearrange the equation to achieve the slope-intercept form. (y=mx+b)

1/2x + y = 3

Eliminate 1/2x from both sides.

y = -1/2x + 3

The y-intercept (where the line intersects the y-axis) is three, and the slope (the change in y over the change in x) is -1/2.

Hope this helps!
AnnZ [12.3K]2 months ago
3 0

Response: A. \dfrac{1}{2}x+y=3

Here’s a detailed explanation:

To determine the equation of a line that traverses two coordinates (a,b) and (c,d), the following formula is used:-

(y-b)=\dfrac{d-b}{c-a}(x-a)

Thus, the equation of a line crossing through the points (0,3) and (6,0) is given by:-

(y-3)=\dfrac{0-3}{6-0}(x-0)\\\\\Rightarrow\ y-3=\dfrac{-1}{2}x\\\\\Rightarrow\ \dfrac{1}{2}x+y=3

Consequently, the equation depicted in the image provided is:-

\dfrac{1}{2}x+y=3

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B is the right choice since each y-value corresponds to a unique x-value. Hope this clarifies!
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1 month ago
The annual interest rate of Marta's savings account is 7.2% in a simple interest is calculated quarterly. What is the periodic i
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CHECK / HELP
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The response states " No solution <<<" because these two lines are parallel and thus do not intersect
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Enjoy your day
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