To write the equation in slope-intercept form (y = mx + b), we need to isolate y on one side of the equation.
To do that, we can start by subtracting 9 from both sides of the equation:
27/2x + 9 = -3/2y
Next, we can multiply both sides of the equation by -2/3 to isolate y:
y = -2/3 * (27/2x + 9)
Simplifying, we get:
y = -27x/2 - (2/3)*9
y = -27x/2 - 6
From this equation, we can see that the slope is -27/2 and the y-intercept is -6.
Writing the y-intercept as an ordered pair, we have:
(-6, 0)
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 (
).
3 answers
the slope is incorrect
My apologies for the error. Let's go through the calculations again:
Starting with the given equation:
9 + (27/2)x = (-3/2)y
To isolate y, we can multiply both sides of the equation by -2/3:
-2/3 * (9 + (27/2)x) = y
Simplifying, we have:
y = (-2/3)(9) + (-2/3)((27/2)x)
y = -6 - 9x
From this equation, we can see that the slope is -9 and the y-intercept is -6.
Therefore, the correct answers are:
The slope is -9.
The y-intercept is (-6, 0).
Starting with the given equation:
9 + (27/2)x = (-3/2)y
To isolate y, we can multiply both sides of the equation by -2/3:
-2/3 * (9 + (27/2)x) = y
Simplifying, we have:
y = (-2/3)(9) + (-2/3)((27/2)x)
y = -6 - 9x
From this equation, we can see that the slope is -9 and the y-intercept is -6.
Therefore, the correct answers are:
The slope is -9.
The y-intercept is (-6, 0).