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How do I describe the graph of y=2x is the same and different from the graph of y=2x-7

How do I describe the graph of y=2x is the same and different from the graph of y-example-1
User Innovin
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1 Answer

4 votes

Answer:

The two graphs difference by the y-intercept.

Explanation:

If we look at the slope-intercept of linear equations


y=mx+b

where m is the slope and b is the y-intercept.

The equation y = 2x has a slope of 2 and a y-intercept of 0. On the other hand, y = 2x -7 has a slope of 2 and a y-intercept of -7.

Moreover, the equation y = 2x represents a proportional relationship (in simple terms it means the y-intercept is zero) whilst y = 2x -7 is non-proportional.

With all that in mind, we see that the correct statements to choose are

y = 2x is proportional and y = 2x - 7 is non-propotional.

y = 2x has a vertical intercept of (0, 0) but y = 2x -7 has a vertical intercept of (0, -7).

User Shastri
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