Do the ratios 10/4 and 25/10 form a proportion?

Yes

Step-by-step explanation: When we're asked to determine whether two ratios form a proportion, what we’re really being asked to do is to determine whether the two ratios are equal because if the ratios are equal, then we know they form a proportion.

So in this problem, we need to determine whether 10/4 equals 25/10.

The easiest way to determine whether 10/4 equals 25/10 is to use cross products. If the cross products are equal, then the ratios are equal.

The cross products for these two ratios are (10)(10) and (4)(25).

Are these products equal?

(10)(10) is 100 and (4)(25) is 100.

Since 100 = 100, we can see that the cross products are equal which means that the ratios are equal and since the ratios are equal, we know they form a proportion. So the answer is yes, 10/4 and 25/10 form a proportion.

I have also shown my work in the image attached.

6, 10

9, -13

12, -21

18, -23

step-by-step explanation:

you just add 6 to the x-coordinate and subtract 10 from the y-coordinate.