Question

A city planner is rerouting traffic in order to work on a stretch of road. The equation of the path of the old route can be described as y = two fifthsx − 4. What should the equation of the new route be if it is to be parallel to the old route and will go through point (Q, P)? y − Q = negative five halves(x − P) y − Q = two fifths(x − P) y − P = negative five halves(x − Q) y − P = two fifths(x − Q)

Answer 1

Answer:

The correct option is;

y - P = two fifths (x - Q).

Step-by-step explanation:

The equation for the old route is given as follows;

$y = \dfrac{2}{5} \cdot x - 4$

Therefore, we have;

The slope of the equation of the old route = 2/5

Given that the new route is parallel to the old route and passes through the point (Q, P), the slope of the new route = 2/5 and the equation of the new route in slope and intercept form can be written as follows;

y - P = 2/5×(x - Q)

Therefore, the correct option is y - P = two fifths (x - Q).