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miv72 [106K]
2 years ago
10

Heather was asked to graph 3x - y = -4 by using slope and y-intercept. Her graph is shown.

Mathematics
1 answer:
irakobra [83]2 years ago
7 0
Hello! The y-intercept is (0, 4), because the line crosses 0 in the x-axis at that point. We can cross out C and D, because those don't show that. The slope is rise/run. You would go up 3, and go to the right once. If you need to, solve for slope by doing y2 - y1/ x2 - x1. Let's use the point (0, 4) and (1, 7) as an example. We would set it up like this: 7 - 4 / 1 - 0. Solving that would give us 3/1 or just simply three. The slope is positive 3 and the y-intercept is (0, 4). The answer is A.
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Answer: A; r = square root (S/4pi)

Step-by-step explanation:

1. Divide 4pi on both sides to get r^2 by itself so the left side becomes S/4pi (you do this because 4, pi, and r^2 are being multiplied together on the right side in the original equation so to cancel that out and get r by itself you do the opposite of multiplication)

The equation should now look like r^2 = S/4pi

2. Square root both sides including r to get rid of the r^2 so it becomes just r (also when you square root both sides, you square root all of S/4pi not just S or 4pi but the whole thing)

After you do that, you get r = square root (S/4pi) which is answer A

Hope this helps! :)

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