Math Problem Statement

(3,9) and left parenthesis, 7, comma, 5, right parenthesis(7,5)? Write your answer in simplest form.

Solution

You are likely asking to calculate something between the points (3,9)(3,9) and (7,5)(7,5). A common question is to find the slope of the line that passes through two points, which is given by the formula:

m=y2y1x2x1m = \frac{y_2 - y_1}{x_2 - x_1}

Here:

  • (x1,y1)=(3,9)(x_1, y_1) = (3, 9)
  • (x2,y2)=(7,5)(x_2, y_2) = (7, 5)

Substituting the values:

m=5973=44=1m = \frac{5 - 9}{7 - 3} = \frac{-4}{4} = -1

So, the slope of the line passing through (3,9)(3,9) and (7,5)(7,5) is m=1m = -1.

Would you like more details or have any other questions?

Here are 5 related questions:

  1. How do you find the distance between two points?
  2. What is the equation of the line passing through (3,9)(3,9) and (7,5)(7,5)?
  3. How do you find the midpoint between two points?
  4. What is the slope of a vertical line?
  5. Can two points with the same yy-coordinate have a slope?

Tip: When calculating the slope, make sure to subtract coordinates in the same order to avoid errors.

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Math Problem Analysis

Mathematical Concepts

Algebra
Analytic Geometry
Slope of a Line

Formulas

Slope formula: m = (y2 - y1) / (x2 - x1)

Theorems

Slope Theorem for a Line

Suitable Grade Level

Grades 8-10