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Write the equation of the line y=mx through the origin that describes the proportional relationship shown in the graph.

Write the equation of the line y=mx through the origin that describes the proportional-example-1

1 Answer

5 votes

Answer:

y =
(1)/(3) x

Explanation:

the equation of the line through the origin is

y = mx ( m is the slope )

to calculate m use the slope formula

m =
(y_(2)-y_(1) )/(x_(2)-x_(1) )

let (x₁, y₁ ) = (0, 0) and (x₂, y₂ ) = (6, 2) ← 2 points on the line

substitute these values into the formula for m

m =
(2-0)/(6-0) =
(2)/(6) =
(1)/(3)

y =
(1)/(3) x ← proportional relationship

User AndyRyan
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