what is the slope and y-intercept of the equation 9+27/2 x =-3/2 y. write the y-intercept as an order pair
To find the slope and y-intercept of the equation 9 + 27/2 x = -3/2 y, we need to rewrite the equation in slope-intercept form y = mx + b, where m is the slope and b is the y-intercept.
Given equation: 9 + 27/2 x = -3/2 y
Divide both sides by -3/2 to isolate y:
y = (-2/3)(9 + 27/2 x)
y = -6 - 9x
Comparing the equation y = -6 - 9x to the slope-intercept form, we find that the slope is -9 and the y-intercept is -6.
The y-intercept can be written as an ordered pair (0, -6).