Question

Use the coordinates of the plotted points to complete the calculation below. Pay attention to negative signs.


On a coordinate plane, a line goes through points (1, 6) and (2, 3).
Clear Check
First, complete the expressions to show the changes in y- and x- values.


change in



Slope


change in





Next, simplify the numerator and denominator.



Slope =



Last, divide the numerator by the denominator.
Slope =

Answer 1

To calculate the slope of the line that goes through the points (1, 6) and (2, 3), we first find the change in the y-values and the change in the x-values.

### Step 1: Change in y and change in x

1. Change in y:

From point (1, 6) to point (2, 3), the change in y is calculated as follows:
\[
\text{change in } y = y_2 - y_1 = 3 - 6 = -3
\]

2. Change in x:

The change in x is calculated similarly:
\[
\text{change in } x = x_2 - x_1 = 2 - 1 = 1
\]

### Step 2: Set up the slope formula

The slope (m) is given by the formula:
\[
\text{slope} = \frac{\text{change in } y}{\text{change in } x} = \frac{-3}{1}
\]

### Step 3: Simplify the slope

Putting it all together:
\[
\text{slope} = \frac{-3}{1} = -3
\]

### Final Result

The slope of the line that goes through the points (1, 6) and (2, 3) is:
\[
\text{slope} = -3
\]