Create a Quiz. The academic subject for which the text must be created - Mathematics. Content must be appropriate for Year or Grade 7. Requi...
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Which subjectMathematics
What age groupYear or Grade 7
What topicFinding slope from a graph
Question typesOpen-ended
Number of questions5
Number of answers4
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Grade 7 Mathematics Quiz: Finding Slope from a Graph

Instructions:

Answer each question to the best of your ability. Show all your work where applicable.

Questions:

  1. Question 1:
    Given the points (2, 3) and (6, 7) on a graph, calculate the slope of the line passing through these two points. Remember to use the formula ( \text{slope} = \frac{y_2 - y_1}{x_2 - x_1} ).

  2. Question 2:
    A line on a graph passes through the points (1, 4) and (4, 10). Determine the slope of this line. Be sure to present your answer clearly.

  3. Question 3:
    Look at the graph below (imagine a straight line going through points). If the line passes through the points (0, 1) and (5, 4), what is the slope of the line?

  4. Question 4:
    Given the point coordinates (3, 5) and (8, 2), find the slope. Utilize the slope formula in your calculations.

  5. Question 5:
    A line that goes through the points (-2, 3) and (2, 7) is plotted on a graph. What is the slope of this line? Please show your calculations as well.

Note:

Be sure to understand that the slope represents the rate of change and can be positive, negative, zero, or undefined. When you describe your answer, include whether the slope is increasing, decreasing, or constant based on the points provided. Good luck!