What is the slope and the y-intercept of the equation 9+272x=−32y. Write the y-intercept as an ordered pair.(1 point)
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).
To find the slope and y-intercept of the equation 9 + 272x = -32y, we need to rewrite it in the form y = mx + b, where m represents the slope and b represents the y-intercept.
Starting with the given equation:
9 + 272x = -32y
Rearranging the equation to isolate y:
-32y = 9 + 272x
Dividing both sides of the equation by -32:
y = -(9/32) - (272/32)x
Now we can identify the slope and y-intercept:
The slope (m) is the coefficient of x, which is -272/32 = -17/2.
The y-intercept (b) is equal to the constant term, which is -(9/32).
Therefore, the slope of the equation is -17/2, and the y-intercept is (-9/32, 0).