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-9 (
).
The given equation is 9 + 272x = -32y.
To find the slope, we need to solve the equation for y and rewrite it in slope-intercept form (y = mx + b), where m is the slope.
Starting with the given equation:
9 + 272x = -32y
Subtracting 9 from both sides:
272x = -32y - 9
Dividing both sides by -32:
-8.5x + (9/32) = y
Now we have the equation in slope-intercept form, where the slope is -8.5.
To find the y-intercept, we can determine the value of y when x = 0. Plugging in x = 0 into the equation:
-8.5(0) + (9/32) = y
0 + (9/32) = y
Thus, the y-intercept is (0, 9/32).
To find the slope and y-intercept of the equation 9+272x=−32y, we need to rearrange the equation into slope-intercept form, which is in the form y = mx + b.
First, let's isolate y by dividing both sides of the equation by -32:
-32y = 9 + 272x
Next, divide both sides of the equation by -32 to solve for y:
y = -9 - 8.5x
Now we can see that the coefficient of x (-8.5) is the slope, and the constant term (-9) is the y-intercept.
Therefore, the slope is -8.5 and the y-intercept is -9.
To write the y-intercept as an ordered pair, we write it as (0, -9) since the x-value is 0 at the y-intercept.