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labwork [276]
3 years ago
6

+ COLORE

Mathematics
1 answer:
Nuetrik [128]3 years ago
4 0

Answer:

Step-by-step explanation:

<h2>C A L C U L A T I O N S</h2>
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Step-by-step explanation:

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Find the equation of the line that is parallel to 4x - 8y equals 9 and passes through (-3, 6)​
vazorg [7]

For this case we have the following equation:

4x-8y = 9

We manipulate algebraically to bring the equation to the slope-intersection form y = mx + b

Where:

m: It's the slope

b: It is the cut-off point with the y axis

8y = 4x-9\\y =\frac {4} {8} x- \frac {9} {8}\\y =\frac {1} {2} x- \frac {9} {8}

By definition, if two lines are parallel then their slopes are equal.

Thus, the line is of the form:

y = \frac {1} {2} x + b

We find the cut-off point by replacing the given point:

6 = \frac {1} {2} (- 3) + b\\6 = - \frac {3} {2} + b\\b = 6 + \frac {3} {2}\\b = \frac {12 + 3} {2}\\b = \frac {15} {2}

Thus, the line is of the form:

y = \frac {1} {2} x + \frac {15} {2}

Answer:

y = \frac {1} {2} x + \frac {15} {2}

6 0
3 years ago
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