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)

The correct option is;

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

Step-by-step explanation:

The equation for the old route is given as follows;

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).

step-by-step explanation:

we are given

since, we have to isolate x on anyone side

so, we can move all x terms on one side

subtract both sides by 2x

add both sides by 9

divide both sides by 4

we get

c is the answer

step-by-step explanation: