What is the slope and the y-intercept of the equation 9+272x=−32y. Write the y-intercept as an ordered pair.
Well, well, well. Let's unravel this mathematical mystery, shall we?
To find the slope and the y-intercept of the given equation, we need to rewrite it in the "y = mx + b" format, where "m" represents the slope and "b" represents the y-intercept.
So, let's get cracking, my inquisitive friend:
9 + 272x = -32y
First, let's isolate the y term by dividing everything by -32:
(9 + 272x) / -32 = y
Now, let's simplify this expression:
-9/32 - 8.5x = y
Voila! We've successfully rewritten the equation. Now we can identify the slope and the y-intercept.
The slope (m) is the coefficient of the x term, which in this case is -8.5.
As for the y-intercept (b), it occurs when x = 0. So let's plug that into our equation:
-9/32 - 8.5(0) = y
-9/32 = y
Therefore, the y-intercept as an ordered pair is (0, -9/32).
There you have it, my amusing friend. The slope is -8.5, and the y-intercept is (0, -9/32). I hope this equation didn't twist your brain into too much of a knot!
To find the slope and y-intercept of the given equation 9 + 272x = -32y, we need to rewrite the equation in the slope-intercept form (y = mx + b), where m represents the slope, and b represents the y-intercept.
Starting with the given equation:
9 + 272x = -32y
Divide both sides by -32 to isolate y:
y = -272x/32 - 9/32
Simplifying further:
y = -17x/2 - 9/32
Now, we can see that the equation is now in the form y = mx + b, where m represents the slope and b represents the y-intercept.
By comparing the equation to the slope-intercept form, we can identify the slope and y-intercept:
Slope (m) = -17/2
Y-intercept (b) = -9/32
The y-intercept as an ordered pair is (0, -9/32).
To find the slope and y-intercept of the equation 9 + 272x = -32y, we need to rearrange the equation to the standard form of a linear equation, which is y = mx + b.
First, let's isolate y by moving the terms containing y to the left side of the equation:
9 + 272x = -32y
Divide both sides of the equation by -32:
(9 + 272x) / -32 = y
Simplify the expression:
-9/32 - 17/2x = y
Now we have the equation in the form y = mx + b, where m is the slope and b is the y-intercept. Comparing the equation, we can see that the slope (m) is -17/2, and the y-intercept (b) is -9/32.
To write the y-intercept as an ordered pair, we substitute the values of the y-intercept into the equation. The y-intercept occurs when x = 0. Plugging x = 0 into the equation, we get:
y = -9/32
So, the y-intercept as an ordered pair is (0, -9/32).
To find the slope and y-intercept of the equation 9+272x=−32y, we first need to rewrite the equation in slope-intercept form, which is y = mx + b, where m is the slope and b is the y-intercept.
First, let's isolate the y-variable:
9 + 272x = -32y
Divide both sides of the equation by -32:
(-32y) / -32 = (9 + 272x) / -32
Simplifying:
y = (-9/32) - (272/32)x
Now, we can see that the slope (m) is -272/32, and the y-intercept (b) is -9/32.
Writing the y-intercept as an ordered pair, we have:
(0, -9/32)