Slope
Slope is a skill on Pengi from Lesson 3: Slope in Yoshiwara Elementary Algebra.
Key Concepts
Property The Greek letter $\Delta$ ('delta') is used in mathematics to indicate change. The slope of a line is defined by the ratio $$ \frac{\text{change in } y\text{ coordinate}}{\text{change in } x\text{ coordinate}} $$ as we move from one point to another on the line. In symbols, the slope, denoted by $m$, is: $$ m = \frac{\Delta y}{\Delta x} $$.
Examples For a line passing through points $(2, 5)$ and $(4, 9)$, the change in $y$ is $\Delta y = 9 5 = 4$ and the change in $x$ is $\Delta x = 4 2 = 2$. The slope is $m = \frac{4}{2} = 2$.
If we move from point $A(1, 3)$ to point $B(5, 6)$, the slope is $m = \frac{\Delta y}{\Delta x} = \frac{6 3}{5 1} = \frac{3}{4}$.
Common Questions
What is Slope?
Slope is a skill on Pengi from Lesson 3: Slope in Yoshiwara Elementary Algebra.
What grade level is Slope for?
Slope 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 Slope?
Pengi offers an AI-guided lesson for Slope 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 Slope?
After learning the concept, use the Practice mode to work through targeted exercises on Slope. The AI adapts to your level and gives feedback on each answer so you can identify and fix mistakes.
Which textbook covers Slope?
Slope is covered in Yoshiwara Elementary Algebra, specifically in Chapter 3: Graphs of Linear Equations under Lesson 3: Slope. Pengi's lesson is aligned directly to this textbook so you can follow along with your class.
Is Slope free to study on Pengi?
Yes, the core Learn and Practice modes for Slope are available for free on Pengi. No credit card is required to start studying.