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

Answer 1

To find the slope and y-intercept of the equation 9 + 27 / 2x = -3 / 2y, we need to rewrite the equation in slope-intercept form, which is in the form y = mx + b.

First, let's simplify the given equation:
9 + 27 / 2x = -3 / 2y
27 / 2x = -3 / 2y - 9
27 / 2x = -3y / 2 - 18 / 2
27 / 2x = (-3y - 18) / 2
27x = -3y - 18
-3y = 27x + 18
y = -9x - 6

Now the equation is in slope-intercept form: y = -9x - 6

The slope of the equation is -9, and the y-intercept is -6.

The y-intercept as an ordered pair is (0, -6).