Question

1,-3) 2,6 as a proper fraction
show your work

Answer 1

just then numbers

Answer 2

To express the points \((1, -3)\) and \((2, 6)\) as a proper fraction, it seems like you're asking for the slope of the line segment connecting these two points. The slope \(m\) between two points \((x_1, y_1)\) and \((x_2, y_2)\) can be calculated using the formula:

\[
m = \frac{y_2 - y_1}{x_2 - x_1}
\]

Substituting the provided coordinates:

- \(x_1 = 1\), \(y_1 = -3\)
- \(x_2 = 2\), \(y_2 = 6\)

Now plug these values into the slope formula:

\[
m = \frac{6 - (-3)}{2 - 1}
\]

Calculating the numerator:

\[
6 - (-3) = 6 + 3 = 9
\]

Calculating the denominator:

\[
2 - 1 = 1
\]

So, the slope \(m\) is:

\[
m = \frac{9}{1} = 9
\]

Since 9 is already an integer and not a proper fraction (which requires the numerator to be less than the denominator), we can say that there is no proper fraction representation for the slope in this case.

If you had a different question regarding proper fractions or needed something else related to these points, please clarify!

Answer 3

It appears you're asking for how to express the numbers \(1, -3\) and \(2, 6\) as a proper fraction. If we disregard their coordinates and just focus on the numbers themselves, we can express these values as fractions.

### Expressing \(1\) and \(2\):
- \(1\) can be expressed as \(\frac{1}{1}\) (which is an improper fraction since the numerator is greater than or equal to the denominator).
- \(2\) can be expressed as \(\frac{2}{1}\) (also improper for the same reason).

### Expressing \(-3\) and \(6\):
- \(-3\) can be written as \(\frac{-3}{1}\) (improper).
- \(6\) can be expressed as \(\frac{6}{1}\) (improper).

### Proper Fraction:
If you're looking for a proper fraction involving the two pairs of numbers, we can create ratios from the differences of \(y\) over the differences of \(x\):

1. From the points:
- The change in \(y\) from \(-3\) to \(6\) is \(6 - (-3) = 9\).
- The change in \(x\) from \(1\) to \(2\) is \(2 - 1 = 1\).

So the ratio \(\frac{y_2 - y_1}{x_2 - x_1}\) gives us \(\frac{9}{1}\), which is not a proper fraction.

If you meant to create a proper fraction by combining these values into a single fraction, or express other values as proper fractions, please clarify, and I can assist you further!