Respuesta :

Answer:

[tex]\boxed{\bold{\huge{\boxed{y = 2x}}}}[/tex]

Step-by-step explanation:

Slope(m):

To find the slope , we need to take any two coordinates from the line.

The coordinates are (0,0) and (5,10)

Slope = [tex]\sf \frac{rise}{run}[/tex]

Slope = [tex]\sf \frac{y2-y2}{x2-x1}[/tex]

Slope = [tex]\frac{10-0}{5-0}[/tex]

Slope = [tex]\frac{10}{5}[/tex]

Slope = 2

Y-intercept(b):

Y-intercept is the point where x = 0 and that point is the origin.

So, y-intercept = 0

Slope-intercept equation:

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

Where m = 2 and b = 0

[tex]\sf y = 2x+0[/tex]

[tex]\sf y = 2x[/tex]

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