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Monica [59]
3 years ago
6

The equation of line L is 2x+y=3

Mathematics
1 answer:
AysviL [449]3 years ago
3 0

Answer:

y = -2x - 4

Step-by-step explanation:

We transform the line equation of L:

2x + y = 3 --(-2x)--> f(x) = y = -2x + 3

We now know that L intersects the y-axis at 3 and it has a slope of -2.

In order to construct a parallel line M, it needs to have an identical slope to L.

All we need to do now is to move one step from the given point (1,-6) towards 0 with the predetermined slope of -2, resulting in the point (0,-4).

Since we know slope and intersection with the y-axis (0,-4), we can construct the line equation:

f(x) = y = -2x - 4 for line M.

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3 years ago
If /is an explanatory variable and m is the corresponding response variable, which of these would be represented by the horizont
kvv77 [185]

Answer: The explanatory variable goes in the horizontal axis.

Step-by-step explanation:

The explanatory variable is the variable that can be manipulated in an experiment. This is also called (and more commonly) the independent variable. This is the variable we usually "input" in a system, with the objective of observing the change in the response variable (also called the dependent variable, because it depends on the independent variable).

Usually, we write the explanatory variable on the horizontal axis and the response variable on the y-axis.

Then the correct answer would be C: /.

This is only because m is defined ONLY as a response variable, there are a lot of experiments with two variables, where we can use each of the variables as the explanatory variable.

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1 year ago
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What is an equation of the line that passes through the point
Ainat [17]

Answer:

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Step-by-step explanation:

1. Understand that a straight line that is perpendicular to another will have an opposite slope to the same.

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5x - 4y = 16 \\ y =  \frac{5}{4} x - 4

3. Take the slope, and get the opposite. Then replace the variables with the given points.

- 8 =   - \frac{4}{5} (5) - 4 \\  - 8 =  - 4 - 4 = \\  - 8 =  - 8

Therefore, your finished equation would be:

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