Question

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

Answer 1

Start with 9 + (27/2)x = −(3/2)y. Solve for y:

Multiply both sides by −2/3:
y = (−2/3)(9 + (27/2)x) = −6 − 9x

So in slope-intercept form y = −9x − 6.

Slope = −9. y-intercept = (0, −6).