Respuesta :

Answer:

y = 5x

Step-by-step explanation:

Find the  slope of the line

Take the point where y = 20 and x = 4 .  That is the point  (4, 20)

Slope = rise / run = y / x = 20 / 4 = 5

Also the graph passes through (0,0)

So if we use the general  slope/intercept form

y = mx + c

m = 5 and c = 0

so the equation of the line is y = 5x + 0

y = 5x

Answer:

A

Step-by-step explanation:

the equation of a straight line passing through the origin is

y = mx ( where m is the slope )

calculate slope m using the gradient formula

m = ( y₂ - y₁ ) / ( x₂ - x₁ )

with (x₁, y₁ ) = (0, 0) and (x₂, y₂ ) = (2, 10 ) ← 2 points on the line

m = [tex]\frac{10-0}{2-0}[/tex] = [tex]\frac{10}{2}[/tex] = 5

y = 5x ← is the equation of the line



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