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MathematicsGrade 8en

๐Ÿ“ˆ Linear Relations & Graphing

Master linear relations by learning to create and interpret tables of values, graphs, and equations. Discover how slope and $y$-intercept shape a line, connect multiple representations, and use these tools to make accurate predictions. Perfect for Grade 8 mathematics students building foundational algebra skills.

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  1. Question 1

    A table shows the relationship between hours worked and money earned. If the table has (x,y)(x, y) pairs (1,15)(1, 15), (2,30)(2, 30), and (3,45)(3, 45), what does the yy-intercept represent in the context of this problem?

  2. Question 2

    Which of the following equations represents a linear relation?

  3. Question 3

    The slope of a line tells us how steep the line is and in which direction it goes.

  4. Question 4

    A table shows (0,7)(0, 7), (1,10)(1, 10), (2,13)(2, 13), and (3,16)(3, 16). What is the slope of the line represented by this table?

  5. Question 5

    What is the yy-intercept of the equation y=โˆ’4x+9y = -4x + 9?

  6. Question 6

    If a line passes through the points (1,4)(1, 4) and (3,10)(3, 10), what is the slope of the line?

  7. Question 7

    A horizontal line has a slope of zero.

  8. Question 8

    Which graph best represents the equation y=โˆ’2x+6y = -2x + 6?

  9. Question 9

    A table of values shows xx and yy coordinates. When you plot these points on a graph and they form a straight line, what does this tell you about the relationship?

  10. Question 10

    Using the linear equation y=3x+2y = 3x + 2, what value of yy corresponds to x=4x = 4?

  11. Question 11

    The slope of a line can be negative.

  12. Question 12

    A table shows the relationship between the number of items purchased and the total cost. If each item costs the same amount and there is no shipping fee, what will the yy-intercept of the linear equation be?

  13. Question 13

    Which statement correctly connects a table, graph, and equation for a linear relation?

  14. Question 14

    A line passes through the point (2,5)(2, 5) and has a slope of 44. What is the equation of the line in the form y=mx+by = mx + b?

  15. Question 15

    If you want to predict a yy value for an xx value between two known points, what is this process called?

  16. Question 16

    The xx-intercept of a line is the point where the line crosses the xx-axis, which occurs when y=0y = 0.

  17. Question 17

    A car rental company charges a base fee of \50andand$0.25perkilometredriven.Whichequationrepresentsthetotalcostper kilometre driven. Which equation represents the total costCasafunctionofkilometresdrivenas a function of kilometres drivenk$?