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 (___).
slope is -9/3 and the y-intercept is (0, 6).
the slope is wrong
Apologies for the mistake. Let's correct it:
The given equation is in the form: 9 + 27/2x = −3/2y
To find the slope-intercept form of the equation (y = mx + b), where m is the slope and b is the y-intercept, we need to solve for y.
Starting with the given equation:
9 + 27/2x = −3/2y
27/2x = -3/2y - 9
27/2x = -3/2y - 18/2
27/2x = -3/2(y + 9)
27x = -3(y + 9)
27x = -3y - 27
3y = -27 - 27x
y = (-27/3) - 9x
y = -9 - 9x
Comparing it with the slope-intercept form, y = mx + b, we see that the slope is -9 and the y-intercept is (0, -9).
Therefore,
The slope is -9, and the y-intercept is (0, -9).