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

1 answer

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

Starting with the original equation:
9 + 27/2x = -3/2y

First, isolate y by dividing by -3/2:
y = -2(9 + 27/2x)
y = -18 - 27x

Now the equation is in slope-intercept form, where:
m = -27, the slope
b = -18, the y-intercept

Therefore, the slope is -27 and the y-intercept is at the ordered pair (0, -18).
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