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Finding the Slope Between Two Points

스터디 가이드 - 스마트 노트

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Q1. Find the slope of the line that goes through the points (-7, -7) and (-4, 8).

Background

Topic: Slope of a Line

This question tests your understanding of how to calculate the slope of a line given two points. The slope describes how steep the line is and the direction it goes.

Key Terms and Formula:

  • Slope (m): The measure of the steepness of a line.

  • Points: and are the coordinates of two points on the line.

The formula for the slope between two points is:

Step-by-Step Guidance

  1. Label the points: Let be and be .

  2. Write down the slope formula:

  3. Substitute the values into the formula: , , , .

  4. Calculate the numerator:

  5. Calculate the denominator:

Find the slope of the line that goes through the given points (-7, -7) and (-4, 8)

Try solving on your own before revealing the answer!

Final Answer:

The slope of the line is 5, which means for every 1 unit you move to the right, the line rises 5 units.

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