Straight line graphs

Different Forms Of An Equation Of A Line!

Linear vs Non-Linear Graphs

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INTRODUCTION

Linear graphs can be represented as straight lines. The word linear itself means straight line! A linear graph is a straight line graph that is plotted on a Cartesian plane with x and y axis. Equation of a straight line graph is y = mx + c

The midpoint of a line!

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Parallel line graphs ALWAYS have the SAME gradient! Hence, the formula is m1= m2

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There are 2 very simple ways of finding out the gradient. m = rise/run m = (y2 - y1)/ (x2 - x1) aka m = (change in y)/(change in x)

Finding The Gradient Of A Straight Line | Graphs | Maths | FuseSchool

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The gradient of perpendicular lines is ALWAYS NEGATIVE RECIPROCALS of each other! Hence, the formula is m1 = -1/m2

General Form

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Step 1: Find gradient. Step 2: Substitute x and y values into x1 and y1 respectively. Step 3: Solve. Step 4: Now rearrange the equation in y = mx + c format.

Introduction . . . . . . . . . . . . . . . . . . . . . . . . . . Gradient of a Graph. . . . . . . . . . . . . . . . . . . . Equation to find Gradient . . . . . . . . . . . . . . . Basic equation of a straight line. . . . . . . . . . Point gradient form. . . . . . . . . . . . . . . . . . . . . General form . . . . . . . . . . . . . . . . . . . . . . . . . . The mid-point of a line. . . . . . . . . . . . . . . . . . . Some questions to solve. . . . . . . . . . . . . . . . . . Answers!. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .

03 06 10 12 14

Basics

Answers!

GRADIENT OF A GRAPH!

EQUATION TO FIND GRADIENT!

GCSE Maths - How to Find the Midpoint of a Line #72

Some questions to solve!

Point Gradient Form

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Bibliography

"Equation Of A Line (Solutions, Examples, Videos, Activities)".&nbsp;Www.Onlinemathlearning.Com, 2021, https://www.onlinemathlearning.com/equation-of-a-line-types.html. Accessed 14 Oct 2021. "Linear Graph - Definition, Examples | What Is Linear Graph?".&nbsp;Cuemath, 2021, https://www.cuemath.com/data/linear-graph/. Accessed 15 Oct 2021. "Linear Graph | What Is Linear Graph?".&nbsp;BYJUS, 2021, https://byjus.com/maths/linear-graph/. Accessed 15 Oct 2021. Foundation, CK-12. "Welcome To CK-12 Foundation | CK-12 Foundation".&nbsp;CK-12 Foundation, 2021, https://www.ck12.org/book/ck-12-middle-school-math-concepts-grade-7/section/7.18/. Accessed 15 Oct 2021. "Graphing Linear Functions | College Algebra".&nbsp;Courses.Lumenlearning.Com, https://courses.lumenlearning.com/waymakercollegealgebra/chapter/graph-linear-functions/. Accessed 16 Oct 2021. "Parallel And Perpendicular Lines (Algebra 1, Formulating Linear Equations) – Mathplanet".&nbsp;Mathplanet, 2011, https://www.mathplanet.com/education/algebra-1/formulating-linear-equations/parallel-and-perpendicular-lines. Accessed 16 Oct 2021. "Parallel And Perpendicular Lines | College Algebra".&nbsp;Courses.Lumenlearning.Com, https://courses.lumenlearning.com/waymakercollegealgebra/chapter/parallel-and-perpendicular-lines/. Accessed 16 Oct 2021. Stapel, Elizabeth. "Slope: Parallel &amp; Perpendicular Lines | Purplemath".&nbsp;Purplemath, https://www.purplemath.com/modules/slope3.htm. Accessed 16 Oct 2021. Roberts, Donna Roberts and Frederick. “Perpendicular Lines.” Perpendicular Lines - Mathbitsnotebook(Geo - CCSS Math), mathbitsnotebook.com/Geometry/Equations/EQPerpendicularLines.html#:~:text=Perpendicular School, Fuse, director. Finding The Gradient Of A Straight Line | Graphs | Maths | FuseSchool. YouTube, 9 Feb. 2017, youtu.be/X7D6b_kxqZE. Accessed 16 Oct. 2021.&nbsp; Jenn. “Point Slope Form (Simply Explained W/ 17 Examples!).” Calcworkshop, 20 Jan. 2020, calcworkshop.com/graphing-linear-equations/point-slope-form/.&nbsp; Haese, Michael et al.&nbsp;Mathematics Core Topics SL 1. 1st ed., Haese &amp; Harris Publications, 2019, pp. 19 to 37. Cognito.&nbsp;GCSE Maths - How To Find The Midpoint Of A Line #72. 2020, https://youtu.be/MpJUxVl_Egw. Accessed 22 Oct 2021.

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