Slope-Intercept Form Practice
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Question
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, we 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.
Given equation: 9 + 272x = -32y
First, let's isolate y by dividing both sides of the equation by -32:
(9 + 272x) / -32 = y
Simplifying the expression on the right side:
y = -34x - (9/32)
Now we can identify the slope and y-intercept:
The slope (m) is -34.
The y-intercept (b) is (0, -9/32).
To find the slope and y-intercept of the equation 9+272x=-32y, we need to rewrite it in 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:
(9 + 272x) / -32 = y
Simplifying the equation:
-9/32 - 17x/2 = y
Now, we can see that the slope is -17/2 and the y-intercept is -9/32.
To write the y-intercept as an ordered pair, we use the form (x, y). In this case, x is 0 (since the y-intercept occurs when x=0).
So the y-intercept as an ordered pair is (0, -9/32).
The slope is -17/2 and the y-intercept is (0, -9/32).