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DedPeter [7]
3 years ago
8

Lynda cuts a piece of wood for a project. The first cut is shown and can be represented by the equation y=1/4x-5.The secend cut

needs to be parallel to the first.it will pass through the point (0,4).Identify the equation that represents Lymda's second cut.

Mathematics
2 answers:
umka2103 [35]3 years ago
8 0

For this case we have that if two lines are parallel then they have the same slope. Thus, the second cut is represented by:

y = \frac {1} {4} x + b

If the second line passes through (0,4), we substitute and find "b".

4 = \frac {1} {4} (0) + b\\b = 4

Thus, the equation is:

y = \frac {1} {4} x + 4

Answer:

y = \frac {1} {4} x + 4

Option C

Svetradugi [14.3K]3 years ago
4 0

Since the second line is parallel to the first, it will have the same slope. The y-intercept of the new line is 4 (because of the coordinates given) so the equation of Lynda's second cut is y = 1/4x + 4 which is choice C

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