What is the equation for the line through the origin and (3, 4)

y = (4/3)x

Step-by-step explanation:

We can use y = mx + b where b is the y-intercept and m is the slope. We can see that the slope is (4-0)/(3-0) = 4/3 and the y-intercept is at (0,0). Thus, m = 4/3 and b = 0. Substituing that in, we get that the equation is y = (4/3)x.

I hope this helps! :)

Their sum can be equal to one and also be greater than one.

Step-by-step explanation:

Since both fraction written by Leah is less than one and have same denominator, the following fractions are some of the possible fraction written by Leah;

1/3 and 2/3, 3/4 and 2/4

Note that both assumed fractions are less than 1 with same denominators.

Adding up this fractions we have;

1/3+2/3 = 3/3 = 1

Similarly,

3/4+2/4 = 5/4 = 1.25

This shows that their sum can be equal to one and can also be greater than one.

This shows that no matter the two different fractions written by Leah, the sum of both fractions can both be less than 1 and also be greater than 1 according to the example used above.