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# Understand the connections between proportional relationships, lines, and linear equations

### Lessons for this standard

Resources cannot be aligned to this standard, browse sub-standards to find lessons.

### Related standards

- This standard is part of: 8.EE
- This standard is derived from: CCSS.Math.Content.8.EE.B

#### More specific sub-standards

Graph proportional relationships, interpreting the unit rate as the slope of the graph. Compare two different proportional relationships represented in different ways.

Use similar triangles to explain why the slope m is the same between any two distinct points on a non-vertical line in the coordinate plane; derive the equation y = mx for a line through the origin and the equation y = mx + b for a line intercepting the vertical axis at b.

#### Similar standards in other grades

Understand the connections between proportional relationships, lines, and linear equations.

Solve word problems leading to equations of the form px + q = r and p(x + q) = r, where p, q, and r are specific rational numbers. Solve equations of these forms fluently. Compare an algebraic solution to an arithmetic solution, identifying the sequence of the operations used in each approach.

Solve word problems leading to equations of the form 𝘱𝘹 + 𝘲 = 𝘳 and 𝘱(𝘹 + 𝘲) = 𝘳, where 𝘱, 𝘲, and 𝘳 are specific rational numbers. Solve equations of these forms fluently. Compare an algebraic solution to an arithmetic solution, identifying the sequence of the operations used in each approach.

Explain what a point (x, y) on the graph of a proportional relationship means in terms of the situation, with special attention to the points (0, 0) and (1, r) where r is the unit rate.

Graph proportional relationships, interpreting the unit rate as the slope of the graph. Compare two different proportional relationships represented in different ways.

#### Similar standards elsewhere

Understand the connections between proportional relationships, lines, and linear equations.

Understand the connections between proportional relationships, lines, and linear equations.

Expressions & Equations: Understand the connections between proportional relationships, lines, and linear equations.

Understand the connections between proportional relationships, lines, and linear equations.

Understand the connections between proportional relationships, lines, and linear equations.