Math / Algebra

Question3 Mark for Review The $y$ -intercept of the graph of $y=-6 x-32$ in the $x y$ -plane is $(0, y)$ . What is the value of $y$ ? $\square$

Studdy Solution

STEP 1

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

STEP 2

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

STEP 3

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

STEP 4

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

STEP 5

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

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Question3 Mark for Review The $y$ -intercept of the graph of $y=-6 x-32$ in the $x y$ -plane is $(0, y)$ . What is the value of $y$ ? $\square$

Studdy Solution

STEP 1

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

STEP 2

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

STEP 3

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

STEP 4

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

STEP 5

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

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Question3 Mark for Review The yyy-intercept of the graph of y=−6x−32y=-6 x-32y=−6x−32 in the xyx yxy-plane is (0,y)(0, y)(0,y). What is the value of yyy ? □\square□

Studdy Solution

STEP 1

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

STEP 2

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

STEP 3

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

STEP 4

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

STEP 5

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

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Question3 Mark for Review The $y$ -intercept of the graph of $y=-6 x-32$ in the $x y$ -plane is $(0, y)$ . What is the value of $y$ ? $\square$

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

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

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

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

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