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dybincka [34]
3 years ago
5

How do you know if a graph is a linear function

Mathematics
1 answer:
Furkat [3]3 years ago
6 0

Answer:

You know a graph is a linear function when the equation is in the format of y=mx+b

<u>mx is the slope</u>

<u>b is the y-intercept</u>

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Which function has the same y-intercept as the function?<br>​
rosijanka [135]

Answer:

6x -7y = 21

Step-by-step explanation:

The y-intercept of a line is the y value when x = 0. In the equation y = \frac23 x -3 \\, we can solve for its equation when we plug in x = 0.

Solving for y when x = 0:

y = \frac23 x -3 \\ y = \frac23 (0) -3 \\ y = -3.

So the y-intercept of the equation y = \frac23 x -3 \\ is -3.

To find what equation has the same y-intercept, we can do the same process for each equations given by the choices. However, I can see that the equation, 6x -7y = 21, has the y-intercept. If in doubt, you can check for the solution below or solve each equations for yourself.

Solving for y when x = 0:

6x -7y = 21 \\ 6(0) -7y = 21 \\ 0 -7y = 21 \\ -7y = 21 \\ \frac{-7y}{-7} = \frac{21}{-7} \\ y = -3

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Step-by-step explanation:

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