What other point will appear on the line representing this proportional relationship where the constant of proportionality is 2? A
(1,3)

B
(2, 4)

C
(2, 2)

D
(4, 2)

B

Step-by-step explanation:

The equation of proportionality is

y = kx ← k is the constant of proportionality

Here k = 2 , then

y = 2x

This means that the y- coordinate is twice the x- coordinate

The only point where this is true is the point

(2, 4 ) → B

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step-by-step explanation:

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x coordinate can be written by using the formula, x= x1 + 2/5(x2 - x1)

step-by-step explanation:

formula

x = x1 + p/w(x2 - x1)

let the line segment ab with a(x1,y1) and b(x2,y2)

a point(x,y) divide ab in the ratio, 2: 3 the x coordinate can be written as

x = x1 + p/w(x2 - x1)

here p=2 and w = 2+3

therefore,

x coordinate can be written by using the formula, x= x1 + 2/5(x2 - x1)

similarly y coordinate y = y1 + 2/5(y2 - y1)