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Describe how the graph of y=2xy=2x is the SAME as the graph of y=2x-7y=2x−7.

Select all statements that are true.





They both have a slope of 2.


They cross the x-axis at the same point.


They are parallel to each other.


They have the same slope.


They are in the same location.


They cross the y-axis at the same point.

2 Answers

1 vote

Answer:

its

Explanation:

User Bart Van Kuik
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5.4k points
3 votes

Answer:

-They both have a slope of 2.

-They are parallel to each other.

-They have the same slope.

Explanation:

The 2 equations are;

y = 2x and y = 2x - 7

Now, from slope intercept equation,

y = mx + c

Where m is slope and c is the intercept on the y-axis

From the 2 equations y = 2x and y = 2x - 7, Comparing with y = mx + c, we can see they both have a slope of 2.

For 2 lines to have same slope, it means that they are parallel and have different y-intercepts.

They should cross the x-axis when y = 0.

But at x = 0,we have;

y = 2x = 0. And x = 0

Also,for y = 2x - 7 is y = 2x - 7 = 0

2x = 7 and x = 7/2.

Thus,they don't cross the x - axis at the same point

Looking at the options, we can see that there are 3 correct ones from what we've described above namely;

-They both have a slope of 2.

-They are parallel to each other.

-They have the same slope.

User Ingernet
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5.0k points