Linear Equation
Linear Equation is a skill on Pengi from Lesson 3: Graphs of Linear Equations in Yoshiwara Elementary Algebra.
Key Concepts
Property An equation of the form $y = ax + b$, where $a$ and $b$ are constants, is called a linear equation because its graph is a straight line. We can graph a linear equation by evaluating the expression $ax + b$ at several values of $x$ and then plotting the resulting points.
Examples A sapling is 5 inches tall and grows 2 inches each week. The height $H$ after $w$ weeks is given by the equation $H = 5 + 2w$. After 3 weeks, the height is $H = 5 + 2(3) = 11$ inches.
You are 200 miles from home and driving away at 60 miles per hour. Your distance $D$ from home after $h$ hours is $D = 200 + 60h$. After 2 hours, the distance is $D = 200 + 60(2) = 320$ miles.
Common Questions
What is Linear Equation?
Linear Equation is a skill on Pengi from Lesson 3: Graphs of Linear Equations in Yoshiwara Elementary Algebra.
What grade level is Linear Equation for?
Linear Equation is part of the Grade 6 Math curriculum, covered in Yoshiwara Elementary Algebra. It is designed for students studying Math at the Grade 6 level.
How can I learn Linear Equation?
Pengi offers an AI-guided lesson for Linear Equation that walks you through the key concepts step by step. The lesson is aligned to Yoshiwara Elementary Algebra so the content matches what you see in class.
How do I practice Linear Equation?
After learning the concept, use the Practice mode to work through targeted exercises on Linear Equation. The AI adapts to your level and gives feedback on each answer so you can identify and fix mistakes.
Which textbook covers Linear Equation?
Linear Equation is covered in Yoshiwara Elementary Algebra, specifically in Chapter 2: Linear Equations under Lesson 3: Graphs of Linear Equations. Pengi's lesson is aligned directly to this textbook so you can follow along with your class.
Is Linear Equation free to study on Pengi?
Yes, the core Learn and Practice modes for Linear Equation are available for free on Pengi. No credit card is required to start studying.