$(5,4)$ and $(6,7)$
Select the correct choice below and, if necessary, fill in the answer box within your choice.
A. The slope is
B. The slope is undefined.
Indicate whether the line through the points rises, falls, is horizontal, or is vertical. Choose the correct answer below.
A. The line falls from left to right.
B. The line is horizontal.
C. The line is vertical.
D. The line rises from left to right.
Answer
Final Answer: The slope is \(\boxed{3.0}\) and the line \(\boxed{rises from left to right}\).
Step 1 ：The slope of a line passing through two points \((x_1, y_1)\) and \((x_2, y_2)\) is given by the formula \(\frac{y_2 - y_1}{x_2 - x_1}\).
Step 2 ：We can use this formula to calculate the slope of the line passing through the points \((5,4)\) and \((6,7)\).
Step 3 ：The slope of the line passing through the points \((5,4)\) and \((6,7)\) is 3.0, which is a positive number.
Step 4 ：Therefore, the line rises from left to right.
Step 5 ：Final Answer: The slope is \(\boxed{3.0}\) and the line \(\boxed{rises from left to right}\).
