Ineed this put the equation in standard form with a positive x coefficient. y + 6 = 3/2 ( x - 4 )

see explanation

Step-by-step explanation:

The equation of a line in standard form is

Ax + By = C ( A is a positive integer and B, C are integers )

given

y + 6 = (x - 4)

Multiply through by 2 to eliminate the fraction

2y + 12 = 3(x - 4) ← distribute

2y + 12 = 3x - 12 ( subtract 2y from both sides )

12 = 3x - 2y - 12 ( add 12 to both sides )

24 = 3x - 2y, that is

3x - 2y = 24 ← in standard form

3/2x -y = 12

Step-by-step explanation:

Y + 6 = 3/2 ( x - 4 )

Distribute the 3/2

y+6 = 3/2x - 12/2

y+6 = 3/2x -6

Subtract 6 from each side

y+6-6 = 3/2x -6-6

y = 3/2x -12

Subtract 3/2x from each side

-3/2x +y = 3/2x-3/2x -12

-3/2x +y =  -12

We want a positive x so multiply by -1

-1(-3/2x +y) = -1* -12

3/2x -y = 12

d. millimeters per hour.

step-by-step explanation:

we are given that,

carlo used a rain gauge to measure the amount of water his lawn is receiving from the sprinklers.

since, according to the options, we see that,

water cannot be measured by 'miles per hour', 'meters per second' and 'grams per seconds'.

we get that, the water can be measured by 'millimeters per hour'.

hence, the appropriate rate for describing the amount of water is 'millimeters per hour'.

d is the correct answer

step-by-step explanation:

x= 8 because 3x = 3 * 8, and 3*8 = 24