Slope-Intercept Form Practice

Question

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Question
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 ( ).

Answer 1

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

First, let's isolate y by dividing both sides of the equation by -3/2:
y = (9 + 27/2x) / (-3/2)

Simplifying the expression:
y = (9 + 27/2x) * (-2/3)
y = -2(9 + 27/2x) / 3
y = -18 - (27x / 2)

Now we can identify the slope and y-intercept:
The slope, m, is the coefficient of x in the equation. In this case, it is -27/2.
The y-intercept, b, is the constant term in the equation. In this case, it is -18.

So, the slope is -27/2 and the y-intercept is (-18, 0).