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olga2289 [7]
3 years ago
12

Which ordered pair would form a proportional relationship with the point graphed below?

Mathematics
2 answers:
Elan Coil [88]3 years ago
8 0

Answer:

the answer is A

Step-by-step explanation:

Charra [1.4K]3 years ago
7 0

Answer: (–10, 30)

Step-by-step explanation:

Proportional relationship means that as x increases, y increases and as x decreases, y decreases, and the ratio between them is always the same. The graph of the proportional relationship equation is usually a straight line through the origin.

For this (–10, 30) would form a proportional graph with the point below.

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3 x 2 = 6 cups of concentrate

3.5 x 3 = 10.5 cups of water  



Bob can make 6 cups of orange juice.
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The answer is the second one

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What is the equation of the line that passes through the point (6,14) and is parallel to the line with the following equation? y
Gekata [30.6K]

Answer:

y=\displaystyle-\frac{4}{3}x+22

Step-by-step explanation:

Hi there!

<u>What we need to know:</u>

  • Linear equations are typically organized in slope-intercept form: y=mx+b where <em>m</em> is the slope and <em>b</em> is the y-intercept
  • Parallel lines always have the same slope (<em>m</em>)

<u>Determine the slope (</u><em><u>m</u></em><u>):</u>

<u />y=\displaystyle-\frac{4}{3}x -1<u />

The slope of the given line is \displaystyle-\frac{4}{3}, since it is in the place of <em>m</em> in y=mx+b. Because parallel lines always have the same slope, the slope of a parallel line would also be \displaystyle-\frac{4}{3}. Plug this into y=mx+b:

y=\displaystyle-\frac{4}{3}x+b

<u>Determine the y-intercept (</u><em><u>b</u></em><u>):</u>

y=\displaystyle-\frac{4}{3}x+b

To find the y-intercept, plug in the given point (6,14) and solve for <em>b</em>:

14=\displaystyle-\frac{4}{3}(6)+b\\\\14=-8+b\\b=22

Therefore, the y-intercept of the line is 22. Plug this back into y=\displaystyle-\frac{4}{3}x+b:

y=\displaystyle-\frac{4}{3}x+22

I hope this helps!

5 0
2 years ago
Can you give me equation where x=16
Mashcka [7]
x = 16 in the following equations:
8 × 2 = x
8 + 8 = x
4 × 4 = x

In the following equations, x = 16:
2x = 32
<em>32 ÷ 2 = x = 16
</em>x + 5 = 21
<em>21 - 5 = x = 16</em>
6 0
3 years ago
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