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Answer :

Answer:

[tex]y = 8x[/tex]

Step-by-step explanation:

Find slope by using Rise/Run.

Use two coordinate points that are part of the graph.

(0,0) and (2,16)

[tex]m = \frac{16 - 0}{2 - 0} \\ m = \frac{16}{2} \\ m = 8[/tex]

We have the slope. We need to find the y-intercept.

From the graph, the graph passes y-axis (0,0). Therefore the y-intercept is at (0,0)

[tex]y = mx + b[/tex]

[tex]m = 8 \\ b = 0[/tex]

Substitute m = 8 and b = 0 in the equation.

[tex]y = 8x + 0 \\ y = 8x[/tex]