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Nezavi [6.7K]
2 years ago
12

Write the slope intercept form that satisfies the following conditions

Mathematics
1 answer:
Olin [163]2 years ago
7 0

y = 3x - 13

Step-by-step explanation:

The line will have the same slope as the given line, which is m = 3. Therefore, the equation of the line in its slope-intercept form is

y = 3x + b

Next we need to solve for b by plugging in the coordinates of the given point:

(-4) = 3(3) + b \Rightarrow b = -13

So the equation of the line is

y = 3x - 13

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What is its domain? <br> What is its range? <br><br> Write the answer in interval notation.
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Answers:

Domain = [-3, 3]

Range = [-1, 2]

=============================================

Explanation:

The domain is the set of all allowed x inputs. Visually, the left-most point is when x = -3, so -3 is the smallest allowed x input. We have a closed circle at this endpoint, so this endpoint x value is included. In contrast, if you had an open circle, then you would exclude the endpoint.

Similarly, we have a closed endpoint at the other side as well when x = 3. This is the largest allowed x value. The domain is the set of x values such that -3 \le x \le 3 meaning x is between -3 and 3, including both endpoints. This translates to the interval notation of [-3, 3]. The square brackets say "include the endpoint".

------------

The range is the set of possible y outputs of a function. The lowest the function goes is when y = -1, and the highest is when y = 2. We include both endpoints. The range as a compound inequality is -1 \le y \le 2 which converts to the interval notation of [-1, 2]

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What is the correct order of the numbers from least to greatest. 1/2, 0.6, 6%, 6/5​
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Step-by-step explanation:

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Volume hold
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