## Does the Point Lie on the Line? worksheet

Suitable for Year groups: 9, 10, 11
GCSE Tier:
Foundation/Higher
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Prerequisite knowledge: Reduce a given linear equation in two variables to the standard form y = mx + c; calculate and interpret gradients and intercepts of graphs of such linear equations numerically, graphically and algebraically.
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## Does the Point Lie on the Line? worksheet description

In this worksheet, students will substitute the given x- and y-values from pairs of coordinates into various straight line equations to determine whether these points lie on the corresponding lines.

In Section A, learners are tasked with demonstrating that five points lie on five respective lines. Section B progresses to challenge students to ascertain whether six different points reside on the graphs of six different equations. Lastly, Section C introduces problem-solving questions, which include determining the several lines upon which the coordinate (9,4) lies.

The worksheet incorporates gradients, y-intercepts, and coordinates that range from positive and negative to integer and fractional values.

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