Question

Which ordered pair would form a proportional relationship with the point graphed below?

Answer 1

Answer:

C (5,20)

Step-by-step explanation:

Passes through (0,0)

So y-intercept is 0

Slope: (40-0)/(10-0 = 4

y = 4x

20 = 4(5)

20 = 20

Answer 2

Answer:

(5, 20)  

Step-by-step explanation:

We can find the slope of the line

m = (y2-y1)/(x2-x1)

    = (40-0)/(10-0)

    = 40/10

    =4

Since the line goes through (0,0) the y intercept is 0

y = mx+b

y = 4x

Lets check the points  by substituting into the equation

40, 10)     10 = 4*40   10 =160  no

(–5, –10)    -10 = 4*-5    10 = -20   no

(5, 20)       20 = 4*5    20 = 20  yes

(–10, –20)    -20 = 4*-10    -20 = -40   no