Question
Find the slope of the line passing through the points \( (-3,3) \) and \( (5,9) \). In Undefined
Ask by Sherman Davey. in the United States
Mar 01,2025
Upstudy AI Solution
Tutor-Verified Answer
Answer
The slope of the line is 3/4.
Solution
To find the slope of the line passing through the points (-3, 3) and (5, 9), use the slope formula:
m = (y₂ - y₁) / (x₂ - x₁)
Assigning the coordinates:
(x₁, y₁) = (-3, 3)
(x₂, y₂) = (5, 9)
Plug the values into the formula:
m = (9 - 3) / (5 - (-3)) = 6 / (5 + 3) = 6 / 8
Simplify the fraction:
m = 3 / 4
Thus, the slope of the line is 3/4.
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Simplify this solution Beyond the Answer
To find the slope of the line passing through the points \((-3,3)\) and \((5,9)\), you can use the slope formula \( m = \frac{y_2 - y_1}{x_2 - x_1} \). Plugging in the coordinates, we get: \( m = \frac{9 - 3}{5 - (-3)} = \frac{6}{8} = \frac{3}{4} \). So, the slope of the line is \( \frac{3}{4} \), indicating the line rises 3 units for every 4 units it runs to the right! For an interesting twist, think about how the slope can define the steepness of a roof or even a hill! A positive slope like \( \frac{3}{4} \) shows that as you move along the x-axis to the right, the height (y-value) increases, resembling that uphill walk you might take!
