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Which subjectMathematics
What age groupYear or Grade 8
What topicSlope intercept
Question typesOpen-ended
Number of questions15
Number of answers4
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Grade 8 Mathematics Quiz: Slope Intercept

Welcome to the Grade 8 Mathematics Quiz on the topic of Slope Intercept! Answer the following questions to the best of your ability.

Questions

  1. What is the slope-intercept form of a linear equation, and what do the variables in the equation represent?

  2. Given the slope-intercept form of the equation ( y = 3x + 2 ), identify the slope and the y-intercept.

  3. If the slope of a line is -4, what does that imply about the direction of the line as it moves from left to right on a graph?

  4. Write the equation of a line in slope-intercept form that has a slope of 1 and passes through the point (2, 3).

  5. Determine the slope of the line that passes through the points (1, 2) and (3, 6).

  6. If a line has the equation ( y = -2x + 5 ), what is the y-coordinate of the y-intercept?

  7. How would you graph the equation ( y = \frac{1}{2}x - 3 )? Describe the steps you would take.

  8. Two lines are represented by the equations ( y = 2x + 1 ) and ( y = 2x - 4 ). Are these lines parallel, perpendicular, or intersecting? Explain your reasoning.

  9. Convert the equation ( 4y - 8x = 12 ) into the slope-intercept form.

  10. If a line has a slope of 0, what type of line will it be on a coordinate plane?

  11. For the equation ( y = -\frac{3}{4}x + 2 ), describe what happens to the line when the slope is increased by 1.

  12. A line passes through the origin and has a slope of -3. Write the equation of the line in slope-intercept form.

  13. If a line crosses the y-axis at (0, -5) and has a slope of 2, what is the equation of the line in slope-intercept form?

  14. How can you determine whether a given point lies on the line represented by the equation ( y = 4x - 7 )?

  15. Explain how to find the x-intercept of a line given its equation in slope-intercept form.