To determine the slope and y-intercept of the given equation, we need to rewrite it in slope-intercept form, which is in the form y = mx + b, where m is the slope and b is the y-intercept.
First, let's rewrite the equation 9 + 27/2x = -3/2y by isolating y.
9 + 27/2x = -3/2y
Multiplying both sides by -2/3 to isolate y, we get:
(-2/3)(9 + 27/2x) = y
Simplifying the equation, we have:
-6 - 18x = y
Now we can see that the slope (m) is -18 and the y-intercept (b) is -6.
Therefore, the slope is (-18) and the y-intercept is (-6, 0).
Slope-Intercept Form Practice
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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 ( ).
1 answer
1 answer