Question

can someone look at this and help me figure it out?

Answer 1

What are the coordinates of the two points shown?

do they satisfy y(x) = 0.5x ?

Answer 2

are the coordinates 1,0 and 4,2?

Answer 3

you have the right co-oridnates for the second point, but check that first one again

Answer 4

1, 0.5?

Answer 5

that's better,

now lets see if the function gives these points

y(x) = 0.5x

y(1) = 0.5(1) = ?

y(4) = 0.5(4) = ??

Answer 6

2?

Answer 7

@UnkleRhaukus

Answer 8

yea that's the second point (4,2)
,what about the the first point?

Answer 9

the first 1 is 0.5 when i multiplied

Answer 10

very good, so you have shown that (1,0.5) and (4,2) [the points on the graph] both satisfy the proportional relation y(x) = 0.5x .

Answer 11

ohhh! thank you so much! this makes so much sense now

Answer 12

What if the proportionality constant was different
y(x) = 3x

would the same points satisfy this proportional relation?

Answer 13

no b/c when you multiply those points into 3 it doesn't equal those points?

Answer 14

right,
for example
y(x) = 3x

y(1) = 3(1) = 3 ≠ 0.5

which corresponds to the point (1,3). This is not a point shown of the graph.

Answer 15

so what is the correct option A,B,C,D?

Answer 16

exactly! and the correct one is A :)

Answer 17

Hurrah!

Answer 18

thank youu!