Question

Points:( -1,-3) (2,6)
Slope formula:

Substituting:

Simplifying:


Result:

Answer 1

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

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

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

### Substituting:

Now we can substitute the coordinates into the formula:

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

### Simplifying:

Now, simplify the expression:

1. Calculate \(y_2 - y_1\):

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

2. Calculate \(x_2 - x_1\):

\[
2 - (-1) = 2 + 1 = 3
\]

Substituting these values back into the slope formula:

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

3. Finally, simplify \(\frac{9}{3}\):

\[
m = 3
\]

### Result:

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