What is the slope and the y
-intercept of the equation 9+272x=−32y
. Write the y
-intercept as an ordered pair.(1 point)
The slope is
. The y
-intercept is (
).
To find the slope and y-intercept of the equation 9 + 272x = -32y, we need to rearrange the equation in slope-intercept form, which is y = mx + b, where m is the slope and b is the y-intercept.
Step 1: Start with the given equation: 9 + 272x = -32y
Step 2: Divide both sides of the equation by -32 to isolate y: (-32y) = (9 + 272x) / -32
Step 3: Simplify the equation: y = (-9/32) - (17/4)x
Now we have the equation in slope-intercept form, where the slope is -17/4 and the y-intercept is (-9/32).
So, the slope is -17/4 and the y-intercept is (-9/32).
The given equation is 9 + 272x = -32y.
To find the slope-intercept form (y = mx + b), we need to solve for y.
Subtracting 9 from both sides, we get:
272x = -32y - 9
Next, divide both sides by -32:
(272x) / -32 = (y) + (9 / -32)
-17x/2 = y - 9/32
Rearranging the equation, we get:
y = -17x/2 + 9/32
So, the slope of the equation is -17/2 and the y-intercept is (0, 9/32).
To find the slope and the y-intercept of the equation 9 + 272x = -32y, we need to rewrite the equation in slope-intercept form, which is y = mx + b, where m represents the slope and b represents the y-intercept.
First, let's isolate y on one side of the equation. We can do this by subtracting 9 from both sides:
272x = -32y - 9
Next, let's divide both sides of the equation by -32 to solve for y:
(272x) / -32 = (y + 9) / -32
Simplifying further:
y = (-17/2)x - (9/32)
Now we can see that the slope of the equation is -17/2 and the y-intercept is -9/32.
Writing the y-intercept as an ordered pair, we can express it as (0, -9/32), where the x-coordinate is 0.