Write an equation of a line passing through point p(4, 0) that is parallel to the line -x+2y=12

y  = x - 2

Step-by-step explanation:

Given parameters:

    Coordinates = p(4,0)

  Equation of the line   -x+2y=12

Solution:

A line parallel to the given line will have the same slope as it is;

     -x+2y=12

          2y = x + 12

            y = x +

 Since this conforms to y = mx + c where;

    x and y are the coordinates

    m is the slope

   c is the intercept

Our slope is

The equation of the line is

      y = mx + c

let us find c;

     c  = y - mx

     c = 0 - ( x 4)

     c = -2

Now the equation of the line parallel to the line given is;

     y  = x - 2

let's cover over the formula of the vertex:

y = a(x – h)^2 + k

in this formula, (h,k) are the vertex, always remember that the positive or negative value of the vertex is based on the sign it has.

for example, if the vertex is -3,-6 then both the x and y value would have the positive sign attached to it and if it were a positive x and y value, then a negative sign would be attached to it.

with that being said, for our problem the x value is a positive one so we are looking for a number with a negative sign next to it, in this case the first and second choice.

however, for the first answer choice it isn't quite part of the formula so we know that the answer choice correctly displays the x value.

to confirm, we can see if the -1 fits correctly with the second answer choice, and as mentioned above a negative number will have a positive sign attached to it. so, for our problem we can see that -1 has been changed to +1, so we can confirm that the second answer choice is correct.

hence, our final answer is y=(x - 1)^2 + 1

if you are looking for the unit rate then the answer would be 9 because unit rate is distance divided by time.

step-by-step explanation: