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Math

Math Snap

PROBLEM

3
Mark for Review
The yy-intercept of the graph of y=6x32y=-6 x-32 in the xyx y-plane is (0,y)(0, y). What is the value of yy ?
\square

STEP 1

1. The equation y=6x32 y = -6x - 32 is in the slope-intercept form, y=mx+b y = mx + b , where m m is the slope and b b is the y-intercept.
2. The y-intercept occurs where the graph intersects the y-axis, which means x=0 x = 0 .

STEP 2

1. Identify the y-intercept from the equation.
2. Substitute x=0 x = 0 into the equation to find the value of y y .

STEP 3

The equation y=6x32 y = -6x - 32 is in the form y=mx+b y = mx + b . Here, b b represents the y-intercept.

STEP 4

To find the y-intercept, substitute x=0 x = 0 into the equation:
y=6(0)32 y = -6(0) - 32

SOLUTION

Simplify the equation:
y=032 y = 0 - 32 y=32 y = -32 The value of y y at the y-intercept is:
32 \boxed{-32}

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