Identify the correct slope and the y-intercept of
3x - 2y = 12

The answer is C

Step-by-step explanation:

3x-2y=12

-3x      -3x

-2y=-3x+12

y=3/2x-6

slope = 3/2

y-intercept = -6

C) m=3/2 and b=-6

Step-by-step explanation:

The easiest way to do this is by converting the equation into slope-intercept form, which is written y=mx+b. So...

3x-2y=12     Subtract 3x from both sides.

-3x      -3x

-2y=-3x+12  Divide both sides by -2.

/-2   /-2

y=3/2x-6

The slope (m) is always right next to x, which, in this case, is 3/2.

The y-intercept (b) is the (simplified) regular number in the equation.

So, the correct answer is C) m=3/2 and b=-6.

Hope this helps you out! Have a nice day :3

if the eqn of the parabola is f(x) = (x-4)(x+2), we need to mult. this out to find the coordinates of the vertex.

then f(x) = x^2 + 2x - 4x - 8, and f(x) = x^2 - 2x - 8.

one way in which you can find the vertex is to calculate x = -b / (2a).   here, that comes to

        )

x = = 1.   f(1) = 1^2 - 2(1) - 8 = - 9.   vertex is at (1, -9).

        2(1) 

find another point on the curve:   let x=0, for which y=-8.   then (0, -8) is on the curve.   plot the vertex and this point and draw a smooth parabola thru both.

hope this

  y= -3x is the required function.

step-by-step explanation:

we have been given a table:

x             y

0             0

1             -3

3             -9

-2             6

we can see that the values of y is -3 times the value of x

hence, the function would be: y= -3x.

put the values of x will give the same y as in the table that means function is satisfying the given table.