Question
Find the slope of the line passing through the points given below or state that the slope is undefined. Then indicate whether the line through the points nises, falls, is horizontal, or is vertical \( (4,2) \) and \( (5,9) \) 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
Ask by Robbins Simmons. in the United States
Feb 27,2025
Upstudy AI Solution
Tutor-Verified Answer
Answer
The slope is 7, and the line rises.
Solution
To find the slope of the line through (4,2) and (5,9), we use the slope formula:
slope = (y₂ – y₁) / (x₂ – x₁)
Substitute in the coordinates:
slope = (9 – 2) / (5 – 4) = 7 / 1 = 7
Since the slope 7 is positive, the line rises.
Answer: A. The slope is 7, and the line rises.
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Simplify this solution Mind Expander
To find the slope of the line passing through the points \( (4,2) \) and \( (5,9) \), we use the formula for slope: \[ m = \frac{y_2 - y_1}{x_2 - x_1} \] Substituting in the values: \[ m = \frac{9 - 2}{5 - 4} = \frac{7}{1} = 7 \] So, the slope is 7. The line rises since the slope is positive. A. The slope is 7. The line rises.
