Question

Which equation represents the same proportional relationship as the graph?
On a coordinate plane, a line goes through points (0, 0), (5, 3), (10, 6).
y = three-fifths x
y = five-thirds x
x y = three-fifths
x y = five-thirds

Answer 1

SOLUTION

TO CHOOSE THE CORRECT OPTION

The equation represents the same proportional relationship as the graph

On a coordinate plane, a line goes through points (0, 0), (5, 3), (10, 6).

• y = 3/5 x

• y = 5/3 x

• x y = 3/5

• x y = 5/3

EVALUATION

Here the given given three points are (0, 0), (5, 3), (10, 6).

Now the equation of the line passing through the points (0, 0), (5, 3) is

$\displaystyle \sf{ \frac{y - 0}{x - 0} = \frac{3 - 0}{5 - 0} }$

$\displaystyle \sf{ \implies \: \frac{y }{x } = \frac{3 }{5} }$

$\displaystyle \sf{ \implies \: y = \frac{3 }{5}x }$

Clear the point ( 10,6) lies on the line

$\displaystyle \sf{ \: y = \frac{3 }{5}x }$

Hence the correct option is

$\displaystyle \sf{ \: y = \frac{3 }{5}x }$

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Answer 2

Answer:

y=5/3x

Step-by-step explanation:

i'm not sure if this is correct but this is the information i collected