Write the equation of the line that is parallel to the line y=−14x−3y=−14x−3 through the point (4,4).

Question

Write the equation of the line that is parallel to the line y=−14x−3y=−14x−3 through the point (4,4).

1. A. y=−14x+5y=−14x+5
2. B. y=5x+1y=5x+1
3. C. y=5x−14y=5x−14
4. D. y=x+5

Answer 1

The line must have the same slope as y = -14x-3 (m = -14) and pass through (4,4)

-14 = (y-4)/(x-4) for any point on that line from the definition of slope or, if you know the slope-point form:

(y-4) = -14(x-4)

None of the choices even work for 4,4 and only (a) has the right slope.