Question

A new road is being constructed parallel to train tracks through point V(3,−2). An equation of the line representing the train tracks is y=2x. Find an equation of the line representing the new road.

Answer 1

The answer is y=2x-8

Answer 2

Answer:

y=2x-8

Step-by-step explanation:

To find an equation that is not parallel to the y axis but has a slope m equal to the given function, y = 2x, where the slope m is 2. And having as data a give point $(x_{1} ;y_{1} )$ that contains the equation to be found, You must use the formula:

$y-y_{1} =m*(x-x_{1} )$

And solve replacing the given point (3,-2):

$y-(-2)=2(x-3)\\y+2=2x-6\\y=2x-6-2\\y=2x-8$

The equation of the line representing the new road is:

y=2x-8