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Equation of a straight line worksheet (with solutions)

Equation of a straight line worksheet (with solutions)

Subject: Mathematics

Age range: 11-14

Resource type: Worksheet/Activity

Last updated

1 August 2026

pdf, 94.37 KB
pdf, 94.37 KB

A worksheet on the following: finding the gradient of a line given its equation, finding the equation of a line given its gradient and one point on it or two points on it and finding the equation of a line parallel to another line passing through a given point. Detailed solutions are included.

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A bundle is a package of resources grouped together to teach a particular topic, or a series of lessons, in one place.

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Algebra for GCSE/IGCSE worksheets (with solutions)

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Three worksheets on the following: determining whether a point is on a given line, identifying the gradient and y-intercept of a line given its equation, finding the gradient of a line that passes through two points, finding the equation given the gradient and y-intercept, finding the equation of a line given its gradient and one point on it or two points on it, finding the equation of a line parallel to another line passing through a given point and determining whether two lines are parallel perpendicular or neither. Detailed solutions are included. Master y = mx + c, finding gradients, and geometric line relationships with this comprehensive straight-line graphs bundle! This resource builds absolute mathematical fluency as students practice calculating gradients from two coordinates, finding y-intercepts, and working with parallel and perpendicular lines. Perfect for KS3 and KS4 math lessons, weekly homework tasks, or GCSE revision practice. ________________________________________ Looking for a print-and-go resource to help your students master linear graphs and coordinate geometry? This comprehensive worksheet bundle features a perfectly scaffolded progression designed to take students from foundational gradient calculations to advanced linear proofs. With clear layouts and exhaustive problem sets, it makes differentiation and lesson planning completely effortless. This resource is fully aligned with the UK National Curriculum for Key Stage 3 (KS3) and Key Stage 4 (KS4) / GCSE Mathematics, specifically focusing on the equation of a straight line and coordinate geometry. 📌 **What's Included:** • **Finding Gradient & Y-Intercept Worksheets:** Targeted practice isolating gradients and intercepts from standard, mixed, and rearranged linear equations (including equations not in standard form). • **Writing Equations from Gradients & Points:** Clear layouts guiding students to construct full straight-line equations given a gradient and a single coordinate. • **Gradient from Two Points Practice:** Scaffolded calculation sets using the gradient formula across positive, negative, and fractional coordinate pairs. • **Parallel & Perpendicular Lines Worksheets:** Advanced multi-step pages requiring students to identify parallel or negative-reciprocal gradients and construct matching lines through given points. • **Verifying Points on a Line:** Algebraic check exercises that teach students to mathematically test if coordinates lie on a given straight-line equation. • **Complete Answer Keys:** Full, step-by-step worked solutions are provided for every single problem to ensure lightning-fast marking or independent student self-checking. 📝 **Perfect For:** • Independent classroom practice, structured classwork, or weekly homework tasks • Small group math intervention, numeracy remediation, and GCSE exam preparation • Fast finishers, targeted revision, and hassle-free emergency cover lesson plans ________________________________________

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A collection of ten worksheets on the following algebra topics: Changing the subject of a formula, equation of a straight line ( finding the gradient of a line given its equation, finding the equation of a line given its gradient and one point on it or two points on it and finding the equation of a line parallel to another line passing through a given point), expanding expressions by multiplying brackets by a single number or variable and collecting like terms when appropriate, factorising polynomials (extracting a common factor, difference of two squares, perfect square, quadratic factorisation), indices, inverse and composite functions, linear equations. Detailed solutions are included.

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