Test
The linear function y = kx + b
Dynamic line equations, slopes, parallelism, intersections, graphs and practical linear models.
Time left: 00:00:00
Sample questions
- Given y = ___x + (___), find y when x = ___.
- A line passes through (___, ___) and (___, ___). Which equation represents it?
- Which line is parallel to y = ___x + (___)?
- Find the intersection of y = ___x + (___) and y = ___x + (___).
- Determine the slope from the graph.___
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.
Related mathematics tests
Scatter plots and correlation
Dynamic correlation direction, trend-line prediction, sample reliability and causation interpretation.
Sine, cosine and tangent
This test applies sine, cosine and tangent in right triangles. Tasks teach students to select the correct trigonometric ratio, find an unknown side or angle and use fundamental identities.
Full Grade 9 test
Full Grade 9 mathematics test with mixed topics, dynamically selected questions and a choice of duration. Practise before an assessment or review the whole course at your own pace.
Quadratic functions and parabolas
Dynamic parabola direction, vertex, axis, zeros, intercepts, graphs and coefficient effects.
