Question

Jaime cuts a piece of wood for a project. The first cut is shown and can be represented by the equation y=1/3x +4. The second cut needs to be parallel to the first. it will pass through the point (0,-5). identify the equation that represent Jaime's second cut
A. y= -3x-5

B. y= 1/3x+5

C. y= 3x+5

D. y= 1/3x-5

Answer 1

For this case we have that by definition, the equation of the line of the slope-intersection form is given by:

$y = mx + b$

Where:

m: It's the slope

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

According to the statement we have the following equation:

$y = \frac {1} {3} x + 4$

Where:

$m = \frac {1} {3}$

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

Thus, the second equation will be of the form:

$y = \frac {1} {3} x + b$

We substitute the given point and find "b":

$-5 = \frac {1} {3} (0) + b\\b = -5$

Finally, the equation is:

$y = \frac {1} {3} x-5$

Answer:

Option D