Question

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.

Answer 1

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

Answer 2

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