Describe how the graph of y=2x os the same and different from graph of y=2x -7. explain or show your reasoning

Both graphs have the same slope, that is the same, but the thing that is different is he second equation starts at a y-int of -7, versus the first starting at 0.

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ankitprmr2 ankitprmr2 · Answer 2 · 2021-10-13T13:26:20+02:00

The slope of both the graph are same but the difference is y-intercept of equation (2) (blue line) is -7 versus the y-intercept of equation (1) (red line) is 0.

Step-by-step explanation:

Given :

[tex]y = 2x[/tex] ------- (1)

[tex]y=2x-7[/tex] ------- (2)

Solution :

Slope of equation (1) is

[tex]\rm m = 2[/tex]

Slope of equation (2) is

[tex]\rm m =2[/tex]

Red line in the image shows the graph of [tex]y = 2x[/tex]

Blue line in the image shows the graph of [tex]y = 2x -7[/tex]

The slope of both the graph are same but the difference is y-intercept of equation (2) (blue line) is -7 versus the y-intercept of equation (1) (red line) is 0.

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