QuestionFind a function with the same $y$ -intercept as $y=\frac{2}{3} x-3$ .

Studdy Solution

STEP 1

Assumptions1. The given function is $y=\frac{}{3}x -3$ . We are looking for a function that has the y-intercept as the given function.

STEP 2

The y-intercept of a function is the value of y when x =0. So, we need to find the y-intercept of the given function.

STEP 3

To find the y-intercept, we substitute x =0 into the given function.
$y = \frac{2}{3}(0) -3$

STEP 4

Calculate the y-intercept.
$y = -3$

STEP 5

The y-intercept of the given function is -3. Therefore, any function that also has a y-intercept of -3 will satisfy the condition.An example of such a function is $y = x -3$ .This is because when x =0, y = -3, which is the same y-intercept as the given function.

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QuestionFind a function with the same $y$ -intercept as $y=\frac{2}{3} x-3$ .

Studdy Solution

STEP 1

Assumptions1. The given function is $y=\frac{}{3}x -3$ . We are looking for a function that has the y-intercept as the given function.

STEP 2

The y-intercept of a function is the value of y when x =0. So, we need to find the y-intercept of the given function.

STEP 3

To find the y-intercept, we substitute x =0 into the given function.
$y = \frac{2}{3}(0) -3$

STEP 4

Calculate the y-intercept.
$y = -3$

STEP 5

The y-intercept of the given function is -3. Therefore, any function that also has a y-intercept of -3 will satisfy the condition.An example of such a function is $y = x -3$ .This is because when x =0, y = -3, which is the same y-intercept as the given function.

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QuestionFind a function with the same yyy-intercept as y=23x−3y=\frac{2}{3} x-3y=32​x−3.

Studdy Solution

STEP 1

Assumptions1. The given function is y=3x−3y=\frac{}{3}x -3y=3​x−3 . We are looking for a function that has the y-intercept as the given function.

STEP 2

The y-intercept of a function is the value of y when x =0. So, we need to find the y-intercept of the given function.

STEP 3

To find the y-intercept, we substitute x =0 into the given function.y=23(0)−3y = \frac{2}{3}(0) -3y=32​(0)−3

STEP 4

Calculate the y-intercept.y=−3y = -3y=−3

STEP 5

The y-intercept of the given function is -3. Therefore, any function that also has a y-intercept of -3 will satisfy the condition.An example of such a function is y=x−3y = x -3y=x−3.This is because when x =0, y = -3, which is the same y-intercept as the given function.

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Studdy solves anything!

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Download Studdy AI Tutor now. Learn with ease and get all help you need to be successful at school.

QuestionFind a function with the same $y$ -intercept as $y=\frac{2}{3} x-3$ .

Assumptions1. The given function is $y=\frac{}{3}x -3$ . We are looking for a function that has the y-intercept as the given function.

To find the y-intercept, we substitute x =0 into the given function.
$y = \frac{2}{3}(0) -3$

Calculate the y-intercept.
$y = -3$

The y-intercept of the given function is -3. Therefore, any function that also has a y-intercept of -3 will satisfy the condition.An example of such a function is $y = x -3$ .This is because when x =0, y = -3, which is the same y-intercept as the given function.