Question: Graph: A line segment/ray rises from left to right on a coordinate grid, passing through T(15, 2) and X(45, 5); position_hint=top-left.
What is the ratio of the rise to the run of TX ?
[Use the slash symbol for fractional answers ]
solve please?
1. **State the problem:** We need to find the ratio of the rise to the run of the line segment TX, where T has coordinates $(15, 2)$ and X has coordinates $(45, 5)$.
2. **Recall the formula:** The rise is the change in the $y$-coordinates, and the run is the change in the $x$-coordinates between two points. The ratio of rise to run is given by:
$$\text{ratio} = \frac{\text{rise}}{\text{run}} = \frac{y_2 - y_1}{x_2 - x_1}$$
3. **Calculate the rise:**
$$\text{rise} = y_2 - y_1 = 5 - 2 = 3$$
4. **Calculate the run:**
$$\text{run} = x_2 - x_1 = 45 - 15 = 30$$
5. **Form the ratio:**
$$\frac{3}{30}$$
6. **Simplify the fraction:**
$$\frac{\cancel{3}}{\cancel{30}} = \frac{1}{10}$$
7. **Final answer:** The ratio of the rise to the run of TX is $1/10$.