Pls help :( 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)

Given:

Old route :

New route is parallel to the old route and will go through point (Q, P).

To find:

The equation of new route.

Solution:

Slope intercept form of a line is

where, m is slope and b is y-intercept.

On comparing , we get

Slope of is .

Slope of parallel lines are same. So, the slope of new route is also .

New route will go through point (Q, P) with slope , so the equation for new route is

where, m is slope.

Therefore, the correct option is D.

all the angles opposite to the angle 150 would be 150 and all the angles that are next to 150 are 30 because they equal 180 it you add it up.

step-by-step explanation: