Question

What is the slope and the y-intercept of the equation 9+272x=−32y. Write the y-intercept as an ordered pair.(1 point)

Answer 1

To find the slope and y-intercept of the equation 9+272x=−32y, we need to rewrite the equation in the form y = mx + b, where m is the slope and b is the y-intercept.

To rewrite the equation, we start by isolating y. Subtract 9 from both sides:
272x = -32y - 9

Now divide both sides by -32:
-272x/32 = y + 9/32

Simplify:
-8.5x = y + 0.28125

Next, subtract 0.28125 from both sides:
-8.5x - 0.28125 = y

Rearranging, we have:
y = -8.5x - 0.28125

Comparing this to the form y = mx + b, we can see that the slope is -8.5 and the y-intercept is -0.28125.

To write the y-intercept as an ordered pair, we can write it as (0, -0.28125).