LT

Test: Linear relationships and graphs

Dynamic tasks on y = kx + b values, coefficients, points, graph properties and practical tariff models.

Question qty: 10
Duration in minutes: 19
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Sample questions

  • The line has equation y = kx + (b). What is its slope?
  • The line has equation y = kx + (b). At which point does it cross the y-axis?
  • Does the point (x, y) lie on y = kx + (b)?
  • A line passes through (x1, y1) and (x2, y2). Which equation represents it?
  • A service has a fixed fee of €mokestis, and each unit costs €vienetas. What is the total for x units?
  • For x units, plan A costs ap + akx euros and plan B costs bp + bkx euros. Compare plans A and B.
  • Is y = kx + (b) increasing or decreasing?
  • Given y = kx + (b), find y when x = x.

Linear relationships and graphs

The equation y = kx + b describes a straight line. The coefficient k is the change in y when x increases by one, while b is the y-intercept. The function increases when k is positive and decreases when k is negative.

Equation, table and context

A point lies on the graph if its coordinates make the equation true. Two points are enough to draw a line. In practical models, b often represents a fixed charge and k a price per unit; distinguish the constant and variable parts of the wording.

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