Question

What is the slope and the y-intercept of the equation 9+27/2 x=−3/2 y. Write the y-intercept as an ordered pair.(1 point)

Answer 1

To find the slope and the y-intercept of the equation 9+27/2x=−3/2y, we need to rewrite the equation in the form y = mx + b, where m represents the slope and b represents the y-intercept.

Starting with the given equation:
9 + 27/2x = -3/2y

Multiply both sides by -2/3 to isolate y:
(9 + 27/2x)(-2/3) = y

Simplify:
-6 - 18x = y

Now we have the equation in the form y = mx + b:
y = -18x - 6

From this equation, we can determine that the slope (m) is -18 and the y-intercept (b) is -6.

The y-intercept can be written as an ordered pair (0, -6).