What is the equation of the line that is parallel to the line defined by the equation y = 2x + 4 and goes through the point (3, 2)?

Step-by-step explanation:

Hey there!

Given;

y = 2x + 4(i)

The point is; (3,2). The equation of line which passes through this point is;

(y-y1) = m2(x-x1)

(y-2)= m2(x-3)(ii)

From equation (i).

y = 2x+4

Comparing the equation with y = mx+c, we get;

Slope (m1)= 2

As per the condition of parallel lines, (m1=m2).

Therefore, m2= 2.

Now, keeping the slope of m1 in eqaution (ii)

(y-2)= 2(x-3)

y - 2 = 2x - 6

y = 2x -4

Therefore, the equation is y = 2x - 4.

Hope it helps...

hi, i am not sure about this one but i think its d,

hope this !

use an equation of ratios to determine the amount of gas needed to fill the tank.

    0.2             0.8

  =    

288.75             x

                                                              231 gal

so, 0.2x = (0.8)(288.75 gal), and x = = 1155 gal.

                                                                0.2

it would take 1155 gal. to fill the tank.

the cost would be

1155 gal         $3

* = $3465   (answer)

      1           1 gal

hope this you