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Points on a straight line worksheet (with solutions)

Points on a straight line worksheet (with solutions)

Subject: Mathematics

Age range: 11-14

Resource type: Worksheet/Activity

Last updated

27 July 2026

pdf, 84.04 KB
pdf, 84.04 KB
A worksheet on checking whether a point is on a straight line or not. Detailed solutions are provided.

Get this resource as part of a bundle and save up to 65%

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

Bundle

Equation of a Straight Line Pack | Slope, Points, Parallel & Perpendicular

8 GCSE/IGCSE worksheets on the following: identifying which points are on a straight line, finding the gradient of a straight line, finding the equation of a straight line (given the gradient and y-intercept or given the gradient and one point or given two points) and identifying parallel and perpendicular lines. Detailed solutions are provided.<br /> <br /> Master straight-line graphs and coordinate geometry with this comprehensive linear equations revision pack! Featuring multiple structured worksheets, students will practice finding gradients from two points, writing equations, calculating midpoints, and verifying parallel or perpendicular properties. Full, step-by-step worked solution keys are included to save you hours of marking time!<br /> ________________________________________<br /> Are your students struggling to find the equation of a straight line? Do they need targeted practice finding gradients from points, calculating line midpoints, or working out parallel and perpendicular line criteria?<br /> This Equation of a Straight Line Pack provides robust, scaffolded practice worksheets designed to build complete procedural fluency in coordinate geometry. This resource takes students step-by-step from foundational straight-line graph features to advanced algebraic verification of geometric line relationships.<br /> Perfect for Key Stage 3 extension, Key Stage 4, GCSE/IGCSE Maths preparation, or international coordinate geometry revision!<br /> ________________________________________<br /> ⚡ What’s Included in This Practice Pack?<br /> This resource features multiple distinct practice assignments complete with matching, fully worked step-by-step answer layouts:<br /> • Section 1: Points on a Straight Line (10 Problems)<br /> o Students verify if coordinates satisfy a given linear equation, moving from standard y = mx + c formats to mixed algebraic forms.<br /> • Section 2: Gradient & Y-Intercept of a Line (20 Problems)<br /> o Focused on pulling the gradient and y-intercept directly from equations or rearranging standard equations into slope-intercept form.<br /> • Section 3: Gradient from Two Coordinates (30 Problems total)<br /> o Dedicated practice calculating the exact gradient of a line passing through a given pair of coordinates using the formula.<br /> • Section 4: Writing Straight Line Equations (16 Problems)<br /> o Exercises requiring students to find the full equation of a line given either a point and a gradient, or two distinct coordinates.<br /> • Section 5: Midpoint & Advanced Coordinates Review<br /> o Practical exam-style word problems focused on calculating coordinate midpoints and validating line constraints.<br /> • Section 6: Parallel, Perpendicular, or Neither Drills (22 Problems)<br /> o Comprehensive sheets where students must analyze line pairs algebraically to determine if they are parallel, perpendicular, or neither.<br /> • Complete Step-Step Worked Solution Keys<br /> o Includes the full algebraic workings showing exactly how to calculate gradients, rearrange equations, determine midpoints, and draw final geometric conclusions. Ideal for quick marking or independent student self-correction!<br /> ________________________________________<br /> 🎯 Why Teachers Love This Pack:<br /> • No Prep Required: Simply choose your target pages, print, photocopy, and you are ready to go!<br /> • Scaffolded Progressions: Problems naturally build from clear coordinate substitutions to multi-step linear rearrangements.<br /> • Flexible Class Application: Ideal for targeted independent practice, homework assignments, exam preparation, cover lessons, or revision sheets.<br /> • Clear Work Space: Generous box layouts leave students plenty of room to write out their algebraic formulas and workings neatly.<br /> ________________________________________<br /> 📐 Curriculum & Topics Covered:<br /> • Key Stage 3 & 4 National Curriculum: Algebraic proficiency, straight-line graphs, and coordinate geometry.<br /> • GCSE & IGCSE Maths (Foundation & Higher Tier): Find gradients of parallel lines, understand the relationship between gradients of perpendicular lines, calculate line midpoints, and find the equation of a straight line.<br /> • Target Keywords: Straight line graphs worksheets, equation of a line, parallel lines, perpendicular lines, finding gradients, slope intercept form, y=mx+c, midpoint formula, algebra revision, GCSE maths geometry pack.<br /> ________________________________________<br /> 🌟 Leave a Review!<br /> If you find this resource helpful, please take a moment to leave a review. Your feedback helps improve future resources and guides other teachers in finding quality materials for their classrooms!

£7.90
Bundle

Slope & Writing Linear Equations Worksheet Bundle | Algebra 1

Seven worksheets on straight lines. Students are required to: * examine whether a point is on a straight line or not * identify the gradient and y-intercept of a given line given its equation * find the gradient of a line passing through two given points * find the equation of a line given its gradient and a point on it * find the equation of a line given two given points on it * determining whether two lines are parallel perpendicular or neither. * find gradients of straight lines, perpendicular lines and parallel lines * find the midpoint of a line segment Detailed solutions are provided. A comprehensive, no-prep bundle of 7 straight-line graphs worksheets. Covers finding gradients from two points, writing equations in \(y = mx + c\) form, midpoints, and parallel/perpendicular lines. Complete with full, worked step-by-step solutions. Ideal for KS3, KS4 GCSE Maths revision, homework, or cover lessons! ________________________________________ Master straight-line graphs and coordinate geometry with this complete, no-prep 7-worksheet resource bundle! Whether you are teaching linear graphs for the first time or prepping your GCSE students for their upcoming maths exams, this comprehensive bundle provides structured, targeted practice. Each of the 7 worksheets focuses on a foundational coordinate geometry skill, moving smoothly from core definitions to multi-step exam-style problem-solving. Best of all, complete, step-by-step worked solutions are included for every single question, making peer-marking, self-assessment, or teacher grading an absolute breeze! **Key Skills Covered:** • **Finding the Gradient:** Calculating the gradient from two coordinate points (covering positive, negative, zero, and fractional gradients). • **Identifying Key Attributes:** Rearranging linear equations into standard form (y = mx + c) to instantly identify the gradient and y-intercept. • **Writing Straight-Line Equations:** Determining the full equation of a line passing through two given coordinate points. • **Verifying Points:** 91ting coordinates algebraically to prove whether a specific point lies on a given line. • **Midpoint Formula:** Finding the exact middle coordinate of a line segment. • **Parallel & Perpendicular Lines:** Writing equations for lines that run parallel or perpendicular to a given equation while passing through a specific point. **Perfect For:** • KS3 Maths Extension & Core Learning • KS4 GCSE Maths Revision (Foundation and Higher tiers) • Independent Study, Homework Tasks, or Weekly Booklets • Low-stakes Assessment, Remediation, & Intervention Groups • High-quality, Print-and-Go Cover Lessons (No preparation required!) **What’s Included in Your Download?** • 7 Student Practice Worksheets (Clean layout with plenty of working-out space) • 7 Complete Teacher Answer Keys featuring fully worked-out, line-by-line solutions ________________________________________ **Love This Resource?** If you found these worksheets helpful, please leave a review to let other teachers know! Be sure to follow my TES shop to get notified as soon as new secondary maths bundles, freebies, and revision resources are uploaded. AI responses may include mistakes. Current limitations only allow part of the document to be used for this answer. Learn more

£3.90

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