What is the slope and the y-intercept of the equation 9+27/2x=−3/2y. Write the y-intercept as an ordered pair.(1 point)
The slope is
. The y-intercept is ( ).
The equation can be rewritten in the form y = mx + b, where m is the slope and b is the y-intercept.
First, let's isolate y in the equation:
9 + (27/2)x = - (3/2)y
(27/2)x = - (3/2)y - 9
(27/2)x = - (3/2)(y + 6)
(-2/3)(27/2)x = y + 6
-27x = 3y + 18
y = -9x - 6
Therefore, the slope is -9 and the y-intercept is (0, -6).