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 + (27/2)x = - (3/2)y, we need to rewrite it in slope-intercept form, y = mx + b.

To do this, let's first isolate the y term:
(27/2)x = -(3/2)y - 9

Dividing through by -(3/2):
(27/2x) / -(3/2) = (-(3/2)y - 9) / -(3/2)
(-27/6)x = (3/3)y + 9/3
(-9/2)x = (y/1) + 3

Now, let's isolate y:
(y/1) = (-9/2)x - 3

This is in the form y = mx + b, where m is the slope and b is the y-intercept.

From this equation, we can see that the slope (m) is -9/2.
The y-intercept (b) is -3.

So, the y-intercept as an ordered pair is (0, -3).