what is the slope and the y intercept of the equation 9+27/2x=-3/2y. write the y-intercept as an ordered pair.
the slope is __. The y-intercept is __.
To find the slope and y-intercept of the equation 9 + (27/2)x = (-3/2)y, we first need to rewrite the equation in the slope-intercept form y = mx + b, where m is the slope and b is the y-intercept.
Start by isolating y on one side of the equation:
(-3/2)y = 9 + (27/2)x
Next, divide by -3/2 to solve for y:
y = -2/3(9 + (27/2)x)
y = -2/3(9) - 2/3(27/2)x
y = -6 - 9x
Now we can see that the equation is in the slope-intercept form y = mx + b, where the slope m is -9 and the y-intercept b is -6.
So, the slope is -9 and the y-intercept is (-6, 0) as an ordered pair.
wrong
I apologize for the mistake in my previous response. Let me correct the calculation.
9 + (27/2)x = (-3/2)y
First, isolate y by dividing both sides by -3/2:
y = -2/3(9 + (27/2)x)
y = -6 - 27/2x
Now, we can see that the equation is in the form y = mx + b, where the slope (m) is -27/2 and the y-intercept (b) is -6.
Therefore, the slope is -27/2 and the y-intercept is (-6, 0) as an ordered pair.
wrong again, the y-intercept is wrong
Apologies for my mistake. Let's correct that.
The equation is:
9 + 27/2x = -3/2y
To find the slope-intercept form, we need to isolate y:
27/2x = -3/2y - 9
Multiplying by -2/3 to solve for y:
y = -2/3 * (27/2)x - 3(-2/3)
y = -9x - 6
Now, we have the equation in the form y = mx + b. The slope (m) is -9 and the y-intercept (b) is -6.
Therefore, the slope is -9 and the y-intercept is (-6, 0) as an ordered pair.