Math  /  Algebra

QuestionVideo
Find the yy-intercept of the line y=3x9y=-3 x-9. Write your answer as an integer or as a simplified proper or improper fraction, not as an ordered pair. \square Submit

Studdy Solution

STEP 1

1. The equation of the line is given in slope-intercept form: y=mx+b y = mx + b .
2. The y y -intercept is the value of y y when x=0 x = 0 .
3. The goal is to identify the constant term in the equation, which represents the y y -intercept.

STEP 2

1. Identify the form of the equation.
2. Determine the y y -intercept from the equation.

STEP 3

The equation given is y=3x9 y = -3x - 9 . This is in the slope-intercept form y=mx+b y = mx + b , where m m is the slope and b b is the y y -intercept.

STEP 4

In the equation y=3x9 y = -3x - 9 , the y y -intercept is the constant term b b , which is the value of y y when x=0 x = 0 .

STEP 5

Identify the y y -intercept:
The constant term b=9 b = -9 .
Thus, the y y -intercept is:
9 \boxed{-9}

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