Write the equation of the line parallel to the given line and passing through the given point. 6x + y = 4 through (-2, 3)

y = -6x - 9

Step-by-step explanation:

Given 6x + y = 4, we borrow the form 6x + y = C to obtain a new line parallel to the given line.  Subst. -2 for x and 3 for y to find C:  6(-2) + 3 = C, or C = -9.

Thus, the desired equation is 6x + y = -9, or  y = -6x - 9.  

Check:  Does this line pass thru (-2,3)?  Is 3 = -6(-2) - 9 true?  Yes, it is.

distance covered by pamela in 9 l of fuel = 99km

let us apply unitary method here.

distance covered by pamela in 1 l of fuel =99/9 =11 km

now let us find distance covered by pamela if she has 12 l of fuel.

distance covered in 12 l = distance covered in 1 l of fuel * 12

we know that distance covered by here in 1 l is 11 km.

so distance covered in 12 l of fuel = 11*12 = 132 km.