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

mx is the slope

b is the y-intercept

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madam [21]

Answer: c

Step-by-step explanation:

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mote1985 [20]

Answer:

c and a

Step-by-step explanation:

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3 years ago

Which function has the same y-intercept as the function?

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 $x = 0$ :

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