To find the slope of the line that passes through the points (2, 2) and (14, 2), we can use the formula for slope:
[tex]\[ \text{slope} = \frac{y_2 - y_1}{x_2 - x_1} \][/tex]
Here, [tex]\((x_1, y_1)\)[/tex] and [tex]\((x_2, y_2)\)[/tex] are the coordinates of the two points. Let's substitute the given coordinates into the formula:
1. Identify the coordinates:
- [tex]\( (x_1, y_1) = (2, 2) \)[/tex]
- [tex]\( (x_2, y_2) = (14, 2) \)[/tex]
2. Calculate the difference in the y-coordinates ([tex]\( y_2 - y_1 \)[/tex]):
- [tex]\( y_2 - y_1 = 2 - 2 = 0 \)[/tex]
3. Calculate the difference in the x-coordinates ([tex]\( x_2 - x_1 \)[/tex]):
- [tex]\( x_2 - x_1 = 14 - 2 = 12 \)[/tex]
4. Substitute these differences into the slope formula:
- [tex]\( \text{slope} = \frac{0}{12} \)[/tex]
5. Simplify the fraction:
- [tex]\( \frac{0}{12} = 0 \)[/tex]
So, the slope of the line that passes through the points (2, 2) and (14, 2) is 0.
