What is the slope and the y-intercept of the equation 9 + 27/2 * x = - 3/2 * y Write the y-intercept as an ordered pair.

The slope is___The y-intercept is___

1 answer

To find the slope-intercept form of the equation, we need to solve for y.
First, subtract 9 from both sides of the equation:

27/2 * x = -3/2 * y - 9

Next, divide both sides by -3/2:

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

This simplifies to:

-9x = 9y + 27

Next, divide both sides by 9:

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

This simplifies to:

-x = y + 3

Finally, rearrange the equation to the slope-intercept form (y = mx + b):

y = -x - 3

From this form, we can determine that the slope is -1 and the y-intercept is -3.

So the slope is -1 and the y-intercept is (-3, 0).
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