what is the slope and the y-intercept of the equation 9+27/2 x = -3/2y

5 answers

To find the slope-intercept form of the equation, we need to isolate y.

Let's first simplify the equation:

9 + (27/2)x = (-3/2)y

Multiply every term by -2/3:

(-2/3)(9) + (-2/3)((27/2)x) = (-2/3)((-3/2)y)

-6 + (-9)x = y

So the equation in slope-intercept form is y = -9x - 6.

The slope is -9, and the y-intercept is -6.
second one is wrong
Apologies for the error in my previous response. Let's correct it:

The given equation is 9 + (27/2)x = (-3/2)y.

To find the slope-intercept form of the equation, we need to isolate y.

Starting with the given equation, let's rearrange the terms:

(27/2)x + 9 = (-3/2)y

Multiplying every term by (-2/3):

(-2/3)(27/2)x - (2/3)(9) = y

Simplifying:

-9x - 6 = y

Therefore, the slope of the equation is -9, and the y-intercept is -6.
-6 is wrong
Apologies for the mistake. Let's correct it:

The given equation is 9 + (27/2)x = (-3/2)y.

To find the slope-intercept form of the equation, we need to isolate y.

Starting with the given equation, let's rearrange the terms:

(27/2)x + 9 = (-3/2)y

Multiplying every term by (-2/3):

(-2/3)(27/2)x - (2/3)(9) = y

Simplifying:

-9x - 6 = y

Therefore, the slope of the equation is -9, and the y-intercept is -6/1 or simply -6.
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