LT

Test: The linear function y = kx + b

Dynamic line equations, slopes, parallelism, intersections, graphs and practical linear models.

Question qty: 10
Duration in minutes: 21
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The linear function y = kx + b

The graph of a linear function is a straight line. The coefficient k determines its direction and steepness, while b is the y-intercept. From two points, calculate the slope as k = (y₂ − y₁)/(x₂ − x₁).

Graph properties

The function increases for k > 0, decreases for k < 0 and is constant for k = 0. Find its zero by solving kx + b = 0. Parallel lines have equal slopes; for suitable perpendicular lines, the product of slopes is −1.

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