Question

Points:( -1,-3) (2,6) as a proper fracton
Slope formula:

Substituting:

Simplifying:


Result:

Answer 1

no words

Answer 2

To find the slope of the line defined by the points \((-1, -3)\) and \((2, 6)\), we can use the slope formula:

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

where \((x_1, y_1)\) and \((x_2, y_2)\) are the coordinates of the two points.

Let's designate:

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

Now, substituting the values into the slope formula:

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

Simplifying the expression:

1. Calculate the numerator:
\[
6 - (-3) = 6 + 3 = 9
\]

2. Calculate the denominator:
\[
2 - (-1) = 2 + 1 = 3
\]

Now substitute these values back into the formula:

\[
m = \frac{9}{3}
\]

Simplifying further:

\[
m = 3
\]

### Result

The slope of the line that passes through the points \((-1, -3)\) and \((2, 6)\) is \(3\).

Answer 3

Points: \((-1, -3)\), \((2, 6)\)

Slope formula:

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

Substituting:

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

Simplifying:

Numerator: \(6 + 3 = 9\)

Denominator: \(2 + 1 = 3\)

Result:

\[
m = \frac{9}{3} = 3
\]