Linear Equations and Their Graphs

Name: Linear Equations and Their Graphs
Author: StemPy Lab

Two pens and a notebook cost 10 dollars. Which prices are possible? An equation with two unknowns has many answers. In this course we learn to find them, and we draw them all as one straight line.

3 lessons, about 1 h 15 min3 simulations9 problems6 practice questionsPython in every lesson

Created by StemPy Lab

Course outline (3 lessons)

Lesson 1about 25 min
Linear equations in two variables
A linear equation in two variables has the form ax plus by plus c equals 0, where a and b are not both zero, and both variables have the power 1. A solution is a pair x, y that makes the equation true. Such an equation has infinitely many solutions: choose a value of x, and y is decided. We can check whether a pair is a solution by putting it in the equation, and we can write the equation to give y in terms of x. Equations like temperature conversion, cost of pens and notebooks and the perimeter of a rectangle are examples. In a shop problem, some solutions are not valid, for example a negative price.
1 simulation2 practice questions1 Python program3 problems1 Python lab
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Lesson 2about 25 min
The graph of a linear equation
Every solution is a point. All the points of the solutions of a linear equation lie on one straight line.
1 simulation2 practice questions1 Python program3 problems1 Python lab1 note
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Lesson 3about 25 min
Special lines and the equation of a line
Lines parallel to an axis, lines through the origin, and a line that tells a story, like a taxi fare.
1 simulation2 practice questions1 Python program3 problems1 question set
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Test Your Learning

Linear Equations and Graphs: Practice Paper

15 questions · 20 min

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More onAlgebra › Linear Equations in Two Variables Coordinate Geometry › Straight Lines

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Linear Equations and Their Graphs

Course outline (3 lessons)

Linear equations in two variables

The graph of a linear equation

Special lines and the equation of a line

Test Your Learning

Your teacher

Discussion (0)