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 (
). ???

4 answers

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

First, isolate y by dividing through by -32:
y = -272/32x - 9/32

Now we can see that the slope is -272/32 = -8.5 and the y-intercept is -9/32. To write the y-intercept as an ordered pair, it would be (0, -9/32).
wrong
I apologize for the mistake. Let's correct that.

Given equation: 9 + 272x = -32y

To find the slope-intercept form, we need to solve for y:

-32y = 9 + 272x
y = (-9 - 272x) / 32

Now, the slope of the equation is the coefficient of x, which is -272/32 = -17/2 = -8.5.

To find the y-intercept, we set x = 0 and solve for y:
y = (-9 - 272(0)) / 32
y = -9/32

Therefore, the y-intercept is (0, -9/32) and the slope is -8.5.
Slope-Intercept Form Practice
Complete this assessment to review what you've learned. It will not count toward your grade.
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Question
Use the image to answer the question.

An illustration shows a coordinate plane with four quadrants. The x and y axes range from negative 10 to 10 in one unit increments. A downward slanting line is graphed on the coordinate plane. The downward slanting line passes through closed points plotted at left parenthesis 0 comma 10 right parenthesis and left parenthesis 1 comma 7 right parenthesis.

Annie has created a graph of 3x+y=10 on the coordinate plane. Did Annie create her graph correctly?

Option 1: No; Annie's y
-intercept is correct but her slope is incorrect.

Option 2: No; Annie's slope is correct but her y
-intercept is incorrect.

Option 3: Yes; Annie's graph is correct.

Enter "1" for Option 1, "2" for Option 2, or "3" for Option 3.

(1 point)
Option
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